Use TypeScript project references for incremental builds (#7180)

* [AI] Fix duplicate typechecking by consolidating into lage

Previously `yarn typecheck` ran:
1. `tsc -b` (type-checks all packages via project references)
2. `tsc -p tsconfig.root.json --noEmit` (checks root bin/*.ts)
3. `lage typecheck` (runs `tsc --noEmit` per package - duplicate!)

Now it runs:
1. `tsc -p tsconfig.root.json --noEmit` (checks root bin/*.ts)
2. `lage typecheck` (handles everything via dependency ordering)

Changes:
- Remove `tsc -b` from root typecheck script
- Add `dependsOn: ["^typecheck"]` to lage config for correct ordering
- Change per-package typecheck from `tsc --noEmit` to `tsc -b` so
  declarations are emitted for dependent packages

https://claude.ai/code/session_01P7mtAHphD6f1FsnQRwWBaW

* Add release notes for PR #7180

---------

Co-authored-by: Claude <noreply@anthropic.com>
Co-authored-by: github-actions[bot] <github-actions[bot]@users.noreply.github.com>

packages/sync-server/package.json

@@ -16,7 +16,7 @@
     "start": "yarn build && node build/app",
     "start-monitor": "nodemon --exec 'yarn build && node build/app' --ignore './build/**/*' --ext 'ts,js' build/app",
     "build": "tsc && yarn add-import-extensions && yarn copy-static-assets",
-    "typecheck": "tsc --noEmit && tsc-strict",
+    "typecheck": "tsc -b && tsc-strict",
     "add-import-extensions": "node bin/add-import-extensions.mjs",
     "copy-static-assets": "rm -rf build/src/sql && cp -r src/sql build/src/sql",
     "test": "NODE_ENV=test NODE_OPTIONS='--experimental-vm-modules --import ./register-loader.mjs --trace-warnings' vitest --run",