chore: migrate repo to pnpm v11 (#48033)

## I have read the
[CONTRIBUTING.md](https://github.com/supabase/supabase/blob/master/CONTRIBUTING.md)
file.

YES

## What kind of change does this PR introduce?

Chore / dependency tooling update.

## What is the current behavior?

The repo is pinned to pnpm 10.24.0. Closes
https://linear.app/supabase/issue/FE-3673/migrate-the-repo-to-use-pnpm-v11.

## What is the new behavior?

The repo is pinned to pnpm 11.13.1, pnpm v11 workspace settings are
migrated to `allowBuilds`, and the Studio Dockerfile installs pnpm
11.13.1.

## Additional context

Validated with `CI=true mise exec node@22 -- pnpm install
--frozen-lockfile`, `mise exec node@22 -- pnpm run typecheck`, and `mise
exec node@22 -- pnpm run lint`; full Prettier check still fails on
existing generated docs/router files outside this migration.


<!-- This is an auto-generated comment: release notes by coderabbit.ai
-->
## Summary by CodeRabbit

* **Chores**
* Updated tooling requirements (pnpm **11.13.1**, Node **>=22.13**) and
aligned container build tooling accordingly.
* Adjusted package manager behavior (scoped registry override, update
notifications disabled) and workspace build/engine validation settings.

* **Maintenance**
* Updated `clean` scripts across apps/packages to remove only
build/cache artifacts (no longer delete installed dependencies).
* Reduced Turbo `clean` task output to **errors-only** for cleaner logs.
<!-- end of auto-generated comment: release notes by coderabbit.ai -->

packages/common/package.json

@@ -7,7 +7,7 @@
   "license": "MIT",
   "scripts": {
     "preinstall": "npx only-allow pnpm",
-    "clean": "rimraf node_modules .turbo tsconfig.tsbuildinfo",
+    "clean": "rimraf .turbo tsconfig.tsbuildinfo",
     "gen:types": "supabase gen types typescript --local >| ./database-types.ts",
     "typecheck": "tsc --noEmit"
   },