chore: improve supermemory maintenance path

[quyentonndbs]

Summary:

• Add or tighten focused edge-case tests or type assertions in apps/docs/test.ts, apps/mcp/src/auth.ts related to TypeScript, frontend tooling, test stability, build fixes; avoid docs-only changes and broad refactors.
• Keep the change narrow so it is straightforward to review.

Notes:

• I kept this scoped to the relevant implementation and tests.