fix: remove functions block from studio vercel.json to fix deployment pattern mismatch

The `functions.api/index.js` pattern references a build artifact that doesn't
exist in the source tree. Vercel validates this pattern before the build runs,
causing: "The pattern 'api/index.js' doesn't match any Serverless Functions."

The per-function config (memory, maxDuration) is already exported from
server/index.ts via `export const config`, picked up by @vercel/node at deploy.

Agent-Logs-Url: https://github.com/objectstack-ai/spec/sessions/076a57ec-e7eb-4a6c-a6c7-78c947eaef28

Co-authored-by: xuyushun441-sys <255036401+xuyushun441-sys@users.noreply.github.com>

Author: Copilot

apps/studio/CHANGELOG.md

@@ -2,6 +2,19 @@
 
 ## Unreleased
 
+### Patch Changes
+
+- Remove `functions` block from `vercel.json` to fix deployment error:
+  "The pattern 'api/index.js' defined in `functions` doesn't match any
+  Serverless Functions inside the `api` directory."
+
+  The `api/index.js` file is a build artifact generated by `bundle-api.mjs`
+  during the Vercel build step — it does not exist in the source tree.
+  Vercel validates `functions` patterns before running the build, causing
+  the mismatch. The per-function configuration (`memory`, `maxDuration`)
+  is already exported from `server/index.ts` via `export const config`,
+  which the `@vercel/node` runtime picks up at deploy time.
+
 ### Minor Changes
 
 - Add collapsible right-side AI Chat floating panel (VS Code Copilot Chat style).

apps/studio/vercel.json

@@ -9,13 +9,6 @@
       "VITE_SERVER_URL": "https://play.objectstack.ai"
     }
   },
-  "functions": {
-    "api/index.js": {
-      "memory": 1024,
-      "maxDuration": 60,
-      "includeFiles": "node_modules/{@libsql,better-sqlite3}/**"
-    }
-  },
   "headers": [
     {
       "source": "/assets/(.*)",