diff --git a/package-lock.json b/package-lock.json
index c3fe912..345b581 100644
--- a/package-lock.json
+++ b/package-lock.json
@@ -5,7 +5,7 @@
   "packages": {
     "": {
       "devDependencies": {
-        "markdownlint-cli": "0.42.0",
+        "markdownlint-cli": "0.44.0",
         "node": ">=22.13.0",
         "prettier": "3.3.3"
       }
@@ -15,6 +15,7 @@
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       "dev": true,
+      "license": "ISC",
       "dependencies": {
         "string-width": "^5.1.2",
         "string-width-cjs": "npm:string-width@^4.2.0",
@@ -27,11 +28,54 @@
         "node": ">=12"
       }
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+    "node_modules/@pkgjs/parseargs": {
+      "version": "0.11.0",
+      "resolved": "https://registry.npmjs.org/@pkgjs/parseargs/-/parseargs-0.11.0.tgz",
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+      "dev": true,
+      "license": "MIT",
+      "optional": true,
+      "engines": {
+        "node": ">=14"
+      }
+    },
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+      "resolved": "https://registry.npmjs.org/@types/debug/-/debug-4.1.12.tgz",
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+      "dev": true,
+      "license": "MIT",
+      "dependencies": {
+        "@types/ms": "*"
+      }
+    },
+    "node_modules/@types/katex": {
+      "version": "0.16.7",
+      "resolved": "https://registry.npmjs.org/@types/katex/-/katex-0.16.7.tgz",
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+      "dev": true,
+      "license": "MIT"
+    },
+    "node_modules/@types/ms": {
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+      "resolved": "https://registry.npmjs.org/@types/ms/-/ms-2.1.0.tgz",
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+      "dev": true,
+      "license": "MIT"
+    },
+    "node_modules/@types/unist": {
+      "version": "2.0.11",
+      "resolved": "https://registry.npmjs.org/@types/unist/-/unist-2.0.11.tgz",
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+      "dev": true,
+      "license": "MIT"
+    },
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       "dev": true,
+      "license": "MIT",
       "engines": {
         "node": ">=12"
       },
@@ -44,6 +88,7 @@
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       "dev": true,
+      "license": "MIT",
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@@ -61,22 +106,58 @@
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-      "dev": true
+      "dev": true,
+      "license": "MIT"
     },
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       "dev": true,
+      "license": "MIT",
       "dependencies": {
         "balanced-match": "^1.0.0"
       }
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+    "node_modules/character-entities": {
+      "version": "2.0.2",
+      "resolved": "https://registry.npmjs.org/character-entities/-/character-entities-2.0.2.tgz",
+      "integrity": "sha512-shx7oQ0Awen/BRIdkjkvz54PnEEI/EjwXDSIZp86/KKdbafHh1Df/RYGBhn4hbe2+uKC9FnT5UCEdyPz3ai9hQ==",
+      "dev": true,
+      "license": "MIT",
+      "funding": {
+        "type": "github",
+        "url": "https://github.com/sponsors/wooorm"
+      }
+    },
+    "node_modules/character-entities-legacy": {
+      "version": "3.0.0",
+      "resolved": "https://registry.npmjs.org/character-entities-legacy/-/character-entities-legacy-3.0.0.tgz",
+      "integrity": "sha512-RpPp0asT/6ufRm//AJVwpViZbGM/MkjQFxJccQRHmISF/22NBtsHqAWmL+/pmkPWoIUJdWyeVleTl1wydHATVQ==",
+      "dev": true,
+      "license": "MIT",
+      "funding": {
+        "type": "github",
+        "url": "https://github.com/sponsors/wooorm"
+      }
+    },
+    "node_modules/character-reference-invalid": {
+      "version": "2.0.1",
+      "resolved": "https://registry.npmjs.org/character-reference-invalid/-/character-reference-invalid-2.0.1.tgz",
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+      "dev": true,
+      "license": "MIT",
+      "funding": {
+        "type": "github",
+        "url": "https://github.com/sponsors/wooorm"
+      }
+    },
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       "dev": true,
+      "license": "MIT",
       "dependencies": {
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       },
@@ -88,22 +169,25 @@
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-      "dev": true
+      "dev": true,
+      "license": "MIT"
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-      "version": "12.1.0",
-      "resolved": "https://registry.npmjs.org/commander/-/commander-12.1.0.tgz",
-      "integrity": "sha512-Vw8qHK3bZM9y/P10u3Vib8o/DdkvA2OtPtZvD871QKjy74Wj1WSKFILMPRPSdUSx5RFK1arlJzEtA4PkFgnbuA==",
+      "version": "13.1.0",
+      "resolved": "https://registry.npmjs.org/commander/-/commander-13.1.0.tgz",
+      "integrity": "sha512-/rFeCpNJQbhSZjGVwO9RFV3xPqbnERS8MmIQzCtD/zl6gpJuV/bMLuN92oG3F7d8oDEHHRrujSXNUr8fpjntKw==",
       "dev": true,
+      "license": "MIT",
       "engines": {
         "node": ">=18"
       }
     },
     "node_modules/cross-spawn": {
-      "version": "7.0.3",
-      "resolved": "https://registry.npmjs.org/cross-spawn/-/cross-spawn-7.0.3.tgz",
-      "integrity": "sha512-iRDPJKUPVEND7dHPO8rkbOnPpyDygcDFtWjpeWNCgy8WP2rXcxXL8TskReQl6OrB2G7+UJrags1q15Fudc7G6w==",
+      "version": "7.0.6",
+      "resolved": "https://registry.npmjs.org/cross-spawn/-/cross-spawn-7.0.6.tgz",
+      "integrity": "sha512-uV2QOWP2nWzsy2aMp8aRibhi9dlzF5Hgh5SHaB9OiTGEyDTiJJyx0uy51QXdyWbtAHNua4XJzUKca3OzKUd3vA==",
       "dev": true,
+      "license": "MIT",
       "dependencies": {
         "path-key": "^3.1.0",
         "shebang-command": "^2.0.0",
@@ -113,6 +197,38 @@
         "node": ">= 8"
       }
     },
+    "node_modules/debug": {
+      "version": "4.4.0",
+      "resolved": "https://registry.npmjs.org/debug/-/debug-4.4.0.tgz",
+      "integrity": "sha512-6WTZ/IxCY/T6BALoZHaE4ctp9xm+Z5kY/pzYaCHRFeyVhojxlrm+46y68HA6hr0TcwEssoxNiDEUJQjfPZ/RYA==",
+      "dev": true,
+      "license": "MIT",
+      "dependencies": {
+        "ms": "^2.1.3"
+      },
+      "engines": {
+        "node": ">=6.0"
+      },
+      "peerDependenciesMeta": {
+        "supports-color": {
+          "optional": true
+        }
+      }
+    },
+    "node_modules/decode-named-character-reference": {
+      "version": "1.0.2",
+      "resolved": "https://registry.npmjs.org/decode-named-character-reference/-/decode-named-character-reference-1.0.2.tgz",
+      "integrity": "sha512-O8x12RzrUF8xyVcY0KJowWsmaJxQbmy0/EtnNtHRpsOcT7dFk5W598coHqBVpmWo1oQQfsCqfCmkZN5DJrZVdg==",
+      "dev": true,
+      "license": "MIT",
+      "dependencies": {
+        "character-entities": "^2.0.0"
+      },
+      "funding": {
+        "type": "github",
+        "url": "https://github.com/sponsors/wooorm"
+      }
+    },
     "node_modules/deep-extend": {
       "version": "0.6.0",
       "resolved": "https://registry.npmjs.org/deep-extend/-/deep-extend-0.6.0.tgz",
@@ -122,23 +238,50 @@
         "node": ">=4.0.0"
       }
     },
+    "node_modules/dequal": {
+      "version": "2.0.3",
+      "resolved": "https://registry.npmjs.org/dequal/-/dequal-2.0.3.tgz",
+      "integrity": "sha512-0je+qPKHEMohvfRTCEo3CrPG6cAzAYgmzKyxRiYSSDkS6eGJdyVJm7WaYA5ECaAD9wLB2T4EEeymA5aFVcYXCA==",
+      "dev": true,
+      "license": "MIT",
+      "engines": {
+        "node": ">=6"
+      }
+    },
+    "node_modules/devlop": {
+      "version": "1.1.0",
+      "resolved": "https://registry.npmjs.org/devlop/-/devlop-1.1.0.tgz",
+      "integrity": "sha512-RWmIqhcFf1lRYBvNmr7qTNuyCt/7/ns2jbpp1+PalgE/rDQcBT0fioSMUpJ93irlUhC5hrg4cYqe6U+0ImW0rA==",
+      "dev": true,
+      "license": "MIT",
+      "dependencies": {
+        "dequal": "^2.0.0"
+      },
+      "funding": {
+        "type": "github",
+        "url": "https://github.com/sponsors/wooorm"
+      }
+    },
     "node_modules/eastasianwidth": {
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       "resolved": "https://registry.npmjs.org/eastasianwidth/-/eastasianwidth-0.2.0.tgz",
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-      "dev": true
+      "dev": true,
+      "license": "MIT"
     },
     "node_modules/emoji-regex": {
       "version": "9.2.2",
       "resolved": "https://registry.npmjs.org/emoji-regex/-/emoji-regex-9.2.2.tgz",
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-      "dev": true
+      "dev": true,
+      "license": "MIT"
     },
     "node_modules/entities": {
       "version": "4.5.0",
       "resolved": "https://registry.npmjs.org/entities/-/entities-4.5.0.tgz",
       "integrity": "sha512-V0hjH4dGPh9Ao5p0MoRY6BVqtwCjhz6vI5LT8AJ55H+4g9/4vbHx1I54fS0XuclLhDHArPQCiMjDxjaL8fPxhw==",
       "dev": true,
+      "license": "BSD-2-Clause",
       "engines": {
         "node": ">=0.12"
       },
@@ -151,6 +294,7 @@
       "resolved": "https://registry.npmjs.org/foreground-child/-/foreground-child-3.3.0.tgz",
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       "dev": true,
+      "license": "ISC",
       "dependencies": {
         "cross-spawn": "^7.0.0",
         "signal-exit": "^4.0.1"
@@ -162,46 +306,33 @@
         "url": "https://github.com/sponsors/isaacs"
       }
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-    "node_modules/get-stdin": {
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-      "resolved": "https://registry.npmjs.org/get-stdin/-/get-stdin-9.0.0.tgz",
-      "integrity": "sha512-dVKBjfWisLAicarI2Sf+JuBE/DghV4UzNAVe9yhEJuzeREd3JhOTE9cUaJTeSa77fsbQUK3pcOpJfM59+VKZaA==",
-      "dev": true,
-      "engines": {
-        "node": ">=12"
-      },
-      "funding": {
-        "url": "https://github.com/sponsors/sindresorhus"
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-      "resolved": "https://registry.npmjs.org/glob/-/glob-11.0.0.tgz",
-      "integrity": "sha512-9UiX/Bl6J2yaBbxKoEBRm4Cipxgok8kQYcOPEhScPwebu2I0HoQOuYdIO6S3hLuWoZgpDpwQZMzTFxgpkyT76g==",
+      "version": "10.4.5",
+      "resolved": "https://registry.npmjs.org/glob/-/glob-10.4.5.tgz",
+      "integrity": "sha512-7Bv8RF0k6xjo7d4A/PxYLbUCfb6c+Vpd2/mB2yRDlew7Jb5hEXiCD9ibfO7wpk8i4sevK6DFny9h7EYbM3/sHg==",
       "dev": true,
+      "license": "ISC",
       "dependencies": {
         "foreground-child": "^3.1.0",
-        "jackspeak": "^4.0.1",
-        "minimatch": "^10.0.0",
+        "jackspeak": "^3.1.2",
+        "minimatch": "^9.0.4",
         "minipass": "^7.1.2",
         "package-json-from-dist": "^1.0.0",
-        "path-scurry": "^2.0.0"
+        "path-scurry": "^1.11.1"
       },
       "bin": {
         "glob": "dist/esm/bin.mjs"
       },
-      "engines": {
-        "node": "20 || >=22"
-      },
       "funding": {
         "url": "https://github.com/sponsors/isaacs"
       }
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-      "resolved": "https://registry.npmjs.org/ignore/-/ignore-6.0.2.tgz",
-      "integrity": "sha512-InwqeHHN2XpumIkMvpl/DCJVrAHgCsG5+cn1XlnLWGwtZBm8QJfSusItfrwx81CTp5agNZqpKU2J/ccC5nGT4A==",
+      "version": "7.0.3",
+      "resolved": "https://registry.npmjs.org/ignore/-/ignore-7.0.3.tgz",
+      "integrity": "sha512-bAH5jbK/F3T3Jls4I0SO1hmPR0dKU0a7+SY6n1yzRtG54FLO8d6w/nxLFX2Nb7dBu6cCWXPaAME6cYqFUMmuCA==",
       "dev": true,
+      "license": "MIT",
       "engines": {
         "node": ">= 4"
       }
@@ -215,34 +346,85 @@
         "node": "^14.17.0 || ^16.13.0 || >=18.0.0"
       }
     },
+    "node_modules/is-alphabetical": {
+      "version": "2.0.1",
+      "resolved": "https://registry.npmjs.org/is-alphabetical/-/is-alphabetical-2.0.1.tgz",
+      "integrity": "sha512-FWyyY60MeTNyeSRpkM2Iry0G9hpr7/9kD40mD/cGQEuilcZYS4okz8SN2Q6rLCJ8gbCt6fN+rC+6tMGS99LaxQ==",
+      "dev": true,
+      "license": "MIT",
+      "funding": {
+        "type": "github",
+        "url": "https://github.com/sponsors/wooorm"
+      }
+    },
+    "node_modules/is-alphanumerical": {
+      "version": "2.0.1",
+      "resolved": "https://registry.npmjs.org/is-alphanumerical/-/is-alphanumerical-2.0.1.tgz",
+      "integrity": "sha512-hmbYhX/9MUMF5uh7tOXyK/n0ZvWpad5caBA17GsC6vyuCqaWliRG5K1qS9inmUhEMaOBIW7/whAnSwveW/LtZw==",
+      "dev": true,
+      "license": "MIT",
+      "dependencies": {
+        "is-alphabetical": "^2.0.0",
+        "is-decimal": "^2.0.0"
+      },
+      "funding": {
+        "type": "github",
+        "url": "https://github.com/sponsors/wooorm"
+      }
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+    "node_modules/is-decimal": {
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+      "resolved": "https://registry.npmjs.org/is-decimal/-/is-decimal-2.0.1.tgz",
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+      "dev": true,
+      "license": "MIT",
+      "funding": {
+        "type": "github",
+        "url": "https://github.com/sponsors/wooorm"
+      }
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     "node_modules/is-fullwidth-code-point": {
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       "dev": true,
+      "license": "MIT",
       "engines": {
         "node": ">=8"
       }
     },
+    "node_modules/is-hexadecimal": {
+      "version": "2.0.1",
+      "resolved": "https://registry.npmjs.org/is-hexadecimal/-/is-hexadecimal-2.0.1.tgz",
+      "integrity": "sha512-DgZQp241c8oO6cA1SbTEWiXeoxV42vlcJxgH+B3hi1AiqqKruZR3ZGF8In3fj4+/y/7rHvlOZLZtgJ/4ttYGZg==",
+      "dev": true,
+      "license": "MIT",
+      "funding": {
+        "type": "github",
+        "url": "https://github.com/sponsors/wooorm"
+      }
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-      "dev": true
+      "dev": true,
+      "license": "ISC"
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-      "resolved": "https://registry.npmjs.org/jackspeak/-/jackspeak-4.0.2.tgz",
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+      "version": "3.4.3",
+      "resolved": "https://registry.npmjs.org/jackspeak/-/jackspeak-3.4.3.tgz",
+      "integrity": "sha512-OGlZQpz2yfahA/Rd1Y8Cd9SIEsqvXkLVoSw/cgwhnhFMDbsQFeZYoJJ7bIZBS9BcamUW96asq/npPWugM+RQBw==",
       "dev": true,
+      "license": "BlueOak-1.0.0",
       "dependencies": {
         "@isaacs/cliui": "^8.0.2"
       },
-      "engines": {
-        "node": "20 || >=22"
-      },
       "funding": {
         "url": "https://github.com/sponsors/isaacs"
+      },
+      "optionalDependencies": {
+        "@pkgjs/parseargs": "^0.11.0"
       }
     },
     "node_modules/js-yaml": {
@@ -272,29 +454,56 @@
         "node": ">=0.10.0"
       }
     },
+    "node_modules/katex": {
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       "dependencies": {
         "ansi-styles": "^6.1.0",
         "string-width": "^5.0.1",
@@ -688,6 +1478,7 @@
       "resolved": "https://registry.npmjs.org/wrap-ansi/-/wrap-ansi-7.0.0.tgz",
       "integrity": "sha512-YVGIj2kamLSTxw6NsZjoBxfSwsn0ycdesmc4p+Q21c5zPuZ1pl+NfxVdxPtdHvmNVOQ6XSYG4AUtyt/Fi7D16Q==",
       "dev": true,
+      "license": "MIT",
       "dependencies": {
         "ansi-styles": "^4.0.0",
         "string-width": "^4.1.0",
@@ -705,6 +1496,7 @@
       "resolved": "https://registry.npmjs.org/ansi-regex/-/ansi-regex-5.0.1.tgz",
       "integrity": "sha512-quJQXlTSUGL2LH9SUXo8VwsY4soanhgo6LNSm84E1LBcE8s3O0wpdiRzyR9z/ZZJMlMWv37qOOb9pdJlMUEKFQ==",
       "dev": true,
+      "license": "MIT",
       "engines": {
         "node": ">=8"
       }
@@ -714,6 +1506,7 @@
       "resolved": "https://registry.npmjs.org/ansi-styles/-/ansi-styles-4.3.0.tgz",
       "integrity": "sha512-zbB9rCJAT1rbjiVDb2hqKFHNYLxgtk8NURxZ3IZwD3F6NtxbXZQCnnSi1Lkx+IDohdPlFp222wVALIheZJQSEg==",
       "dev": true,
+      "license": "MIT",
       "dependencies": {
         "color-convert": "^2.0.1"
       },
@@ -728,13 +1521,15 @@
       "version": "8.0.0",
       "resolved": "https://registry.npmjs.org/emoji-regex/-/emoji-regex-8.0.0.tgz",
       "integrity": "sha512-MSjYzcWNOA0ewAHpz0MxpYFvwg6yjy1NG3xteoqz644VCo/RPgnr1/GGt+ic3iJTzQ8Eu3TdM14SawnVUmGE6A==",
-      "dev": true
+      "dev": true,
+      "license": "MIT"
     },
     "node_modules/wrap-ansi-cjs/node_modules/string-width": {
       "version": "4.2.3",
       "resolved": "https://registry.npmjs.org/string-width/-/string-width-4.2.3.tgz",
       "integrity": "sha512-wKyQRQpjJ0sIp62ErSZdGsjMJWsap5oRNihHhu6G7JVO/9jIB6UyevL+tXuOqrng8j/cxKTWyWUwvSTriiZz/g==",
       "dev": true,
+      "license": "MIT",
       "dependencies": {
         "emoji-regex": "^8.0.0",
         "is-fullwidth-code-point": "^3.0.0",
@@ -749,6 +1544,7 @@
       "resolved": "https://registry.npmjs.org/strip-ansi/-/strip-ansi-6.0.1.tgz",
       "integrity": "sha512-Y38VPSHcqkFrCpFnQ9vuSXmquuv5oXOKpGeT6aGrr3o3Gc9AlVa6JBfUSOCnbxGGZF+/0ooI7KrPuUSztUdU5A==",
       "dev": true,
+      "license": "MIT",
       "dependencies": {
         "ansi-regex": "^5.0.1"
       },
diff --git a/package.json b/package.json
index 60d7369..a98a983 100644
--- a/package.json
+++ b/package.json
@@ -1,7 +1,7 @@
 {
   "devDependencies": {
     "node": ">=22.13.0",
-    "markdownlint-cli": "0.42.0",
+    "markdownlint-cli": "0.44.0",
     "prettier": "3.3.3"
   }
 }