fix(docs): respect basePath in static search index URL

[pratyush618]

Summary

Search on docs.byteveda.org/taskito returns no results — typing "workflows" doesn't even render the "No result" placeholder.

Root cause: the docs ship with DOCS_BASE_PATH=/taskito (CI in .github/workflows/docs.yml), but fumadocs' static Orama client hardcodes the index URL to /api/search and is unaware of Next's basePath. So the deployed site fetches https://docs.byteveda.org/api/search (404) instead of https://docs.byteveda.org/taskito/api/search (200, 5.6 MB index). The rejected promise is then cached forever in getDBCached, and the dialog stays at items === null (hidden — that's why no "No result" message either).

Fix: expose basePath to the client as NEXT_PUBLIC_DOCS_BASE_PATH and pass it to useDocsSearch via the documented from option:

useDocsSearch({
  type: "static",
  initOrama,
  locale,
  from: `${basePath}/api/search`,
});

Locally with pnpm dev (no basePath) from becomes /api/search and behavior is unchanged.

Test plan

• pnpm types:check passes
• pnpm lint passes
• Local sanity: pnpm dev → search "workflows" → results show
• Local with basePath: DOCS_BASE_PATH=/taskito pnpm build && pnpm start → open localhost:3000/taskito → search "workflows" → results show (this reproduces the prod bug without the fix)
• After merge: https://docs.byteveda.org/taskito → search works