chore(toolchain): upgrade Bun to 1.4.4 and migrate console to TanStack Router

biome.json

@@ -11,7 +11,6 @@
       "!**/node_modules",
       "!**/dist",
       "!**/build",
-      "!**/.react-router",
       "!types",
       "!spikes",
       "!docs",
@@ -56,6 +55,20 @@
     }
   },
   "overrides": [
+    {
+      "includes": [
+        "apps/web/app/components/agent/agent-nav.test.ts",
+        "apps/web/app/components/agent/agent-session-ui.test.ts",
+        "apps/web/app/components/slots/slot-mounts.test.ts",
+        "apps/web/app/components/ui/calendar.tsx",
+        "apps/web/app/features/subtitles.tsx"
+      ],
+      "linter": { "rules": { "correctness": { "noComponentHookFactories": "off" } } }
+    },
+    {
+      "includes": ["**/*.md"],
+      "formatter": { "enabled": false }
+    },
     {
       "includes": ["apps/web/app/components/ui/**"],
       "linter": {