fix(sync): move typescript to dependencies to fix Docker build

npm silently skips devDependencies in some Alpine+npm combinations,
causing tsc to be missing even after npm install. Moving typescript
to regular dependencies guarantees it is always installed and its
.bin symlink is created regardless of NODE_ENV.

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

sync/package-lock.json

@@ -10,13 +10,13 @@
       "dependencies": {
         "@playwright/test": "^1.47.0",
         "dotenv": "^16.0.0",
-        "pg": "^8.11.0"
+        "pg": "^8.11.0",
+        "typescript": "^5.0.0"
       },
       "devDependencies": {
         "@types/node": "^20.0.0",
         "@types/pg": "^8.10.0",
-        "ts-node": "^10.9.0",
-        "typescript": "^5.0.0"
+        "ts-node": "^10.9.0"
       }
     },
     "node_modules/@cspotcode/source-map-support": {
@@ -406,7 +406,6 @@
       "version": "5.9.3",
       "resolved": "https://npm.apple.com/typescript/-/typescript-5.9.3.tgz",
       "integrity": "sha512-jl1vZzPDinLr9eUt3J/t7V6FgNEw9QjvBPdysz9KfQDD41fQrC2Y4vKQdiaUpFT4bXlb1RHhLpp8wtm6M5TgSw==",
-      "dev": true,
       "peer": true,
       "bin": {
         "tsc": "bin/tsc",