Improve test execution by automatically starting and stopping the API server

Refactor test execution to use a new script that manages the API server lifecycle, including building, starting, waiting for health, running tests, and shutting down, with support for using an existing server.

Replit-Commit-Author: Agent
Replit-Commit-Session-Id: 77cfe984-2c65-4152-bb7a-0df28274fe66
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Replit-Commit-Event-Id: a42bd3b2-3145-4118-87aa-336a7e2189ca
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artifacts/api-server/package.json

@@ -9,7 +9,8 @@
     "start": "node --enable-source-maps ./dist/index.mjs",
     "typecheck": "tsc -p tsconfig.json --noEmit",
     "test:wait": "node ./scripts/wait-for-server.mjs",
-    "test": "node --test 'tests/*.test.mjs' && node --test --test-concurrency=1 'tests/serial/**/*.test.mjs'",
+    "test:run": "node --test 'tests/*.test.mjs' && node --test --test-concurrency=1 'tests/serial/**/*.test.mjs'",
+    "test": "node ./scripts/with-server.mjs -- pnpm run test:run",
     "migrate": "pnpm --filter @workspace/db run push && pnpm --filter scripts run seed"
   },
   "dependencies": {