Add support for database config in project metadata

src/EdgeDB.Net.Driver/EdgeDBConnection.cs

@@ -406,7 +406,12 @@ public static EdgeDBConnection FromProjectFile(string path)
             if (!ConfigUtils.TryResolveInstanceCloudProfile(projectDir, out string? profile, out string? inst) || inst is null)
                 throw new FileNotFoundException($"Could not find instance name under project directory {projectDir}");
 
-            return FromInstanceName(inst, profile);
+            var connection = FromInstanceName(inst, profile);
+
+            if (ConfigUtils.TryResolveProjectDatabase(projectDir, out var database))
+                connection.Database = database;
+
+            return connection;
         }
 
         /// <summary>

src/EdgeDB.Net.Driver/Utils/ConfigUtils.cs

@@ -96,7 +96,25 @@ public static bool TryResolveInstanceTOML(string cdir, [NotNullWhen(true)] out s
             return false;
         }
 
-        public static bool TryResolveInstanceCLoudProfile(out string? profile, out string? linkedInstanceName)
+        public static bool TryResolveProjectDatabase(string stashDir, [NotNullWhen(true)] out string? database)
+        {
+            database = null;
+
+            if (!Directory.Exists(stashDir))
+                return false;
+
+            var databasePath = Path.Combine(stashDir, "database");
+
+            if (File.Exists(databasePath))
+            {
+                database = File.ReadAllText(databasePath);
+                return true;
+            }
+
+            return false;
+        }
+
+        public static bool TryResolveInstanceCloudProfile(out string? profile, out string? linkedInstanceName)
         {
             profile = null;
             linkedInstanceName = null;