docs(js): Update SvelteKit APIs and Build Options pages

[inventarSarah]

DESCRIBE YOUR PR

Moved content from SvelteKit's Manual Quick Start guide to the APIs and Build Options pages.

Note: Now that we have started to populate the Build Options page with content, we need to make sure the documentation is complete and add all build options to the page. I'll create an issue

closes: #13634

IS YOUR CHANGE URGENT?

Help us prioritize incoming PRs by letting us know when the change needs to go live.

• Urgent deadline (GA date, etc.):
• Other deadline:
• None: Not urgent, can wait up to 1 week+

SLA

• Teamwork makes the dream work, so please add a reviewer to your PRs.
• Please give the docs team up to 1 week to review your PR unless you've added an urgent due date to it.
  Thanks in advance for your help!

PRE-MERGE CHECKLIST

Make sure you've checked the following before merging your changes:

• Checked Vercel preview for correctness, including links
• PR was reviewed and approved by any necessary SMEs (subject matter experts)
• PR was reviewed and approved by a member of the Sentry docs team

LEGAL BOILERPLATE

Look, I get it. The entity doing business as "Sentry" was incorporated in the State of Delaware in 2015 as Functional Software, Inc. and is gonna need some rights from me in order to utilize my contributions in this here PR. So here's the deal: I retain all rights, title and interest in and to my contributions, and by keeping this boilerplate intact I confirm that Sentry can use, modify, copy, and redistribute my contributions, under Sentry's choice of terms.

EXTRA RESOURCES

• Sentry Docs contributor guide

[vercel]

The latest updates on your projects. Learn more about Vercel for Git ↗︎

Name	Status	Preview	Comments	Updated (UTC)
sentry-docs	✅ Ready (Inspect)	Visit Preview	💬 Add feedback	Jun 17, 2025 0:24am

1 Skipped Deployment

Name	Status	Preview	Comments	Updated (UTC)
develop-docs	⬜️ Ignored (Inspect)	Visit Preview		Jun 17, 2025 0:24am

[codecov]

Bundle Report

Changes will increase total bundle size by 8 bytes (0.0%) ⬆️. This is within the configured threshold ✅

Detailed changes

Bundle name	Size	Change
sentry-docs-server-cjs	10.92MB	14 bytes (0.0%) ⬆️
sentry-docs-client-array-push	9.77MB	-6 bytes (-0.0%) ⬇️

Affected Assets, Files, and Routes:

view changes for bundle: sentry-docs-client-array-push

Assets Changed:

Asset Name	Size Change	Total Size	Change (%)
static/chunks/pages/_app-*.js	-3 bytes	873.24kB	-0.0%
static/chunks/7750-*.js	-3 bytes	401.83kB	-0.0%
server/middleware-*.js	-5.55kB	1.0kB	-84.74%
server/middleware-*.js	5.55kB	6.55kB	555.3% ⚠️
static/LvALVx4dtL7u7lA1VnFwz/_buildManifest.js (New)	616 bytes	616 bytes	100.0% 🚀
static/LvALVx4dtL7u7lA1VnFwz/_ssgManifest.js (New)	77 bytes	77 bytes	100.0% 🚀
static/Ru7aQbzxwboH8LIoDKKky/_buildManifest.js (Deleted)	-616 bytes	0 bytes	-100.0% 🗑️
static/Ru7aQbzxwboH8LIoDKKky/_ssgManifest.js (Deleted)	-77 bytes	0 bytes	-100.0% 🗑️

view changes for bundle: sentry-docs-server-cjs

Assets Changed:

Asset Name	Size Change	Total Size	Change (%)
1729.js	-3 bytes	1.64MB	-0.0%
../instrumentation.js	-3 bytes	973.36kB	-0.0%
9523.js	-3 bytes	949.31kB	-0.0%
../app/[[...path]]/page.js	23 bytes	587.66kB	0.0%

Files in ../app/[[...path]]/page.js:

• ./src/components/sdkOption.tsx → Total Size: 5.15kB

App Routes Affected:

App Route	Size Change	Total Size	Change (%)
/[[...path]]	23 bytes	3.14MB	0.0%

[coolguyzone]

LGTM!