test(mcp): stabilize refresh budget synchronization

[CuSO41108]

Summary

Make the spaced list-changed refresh-budget E2E test wait for the manager's successful refresh publication instead of polling tools/list requests against a one-second wall-clock deadline. This keeps the production refresh behavior unchanged while retaining a bounded whole-test timeout for genuine non-convergence.

Fixes #3307

Verification

• npm run lint — passed (2,623 files)
• npm run format:check — passed (1,603 files)
• npm --workspace @maka/mcp run typecheck — passed
• npm --workspace @maka/mcp run test:dist — passed (171 tests)
• Targeted refresh-budget test repetitions — passed (20/20 on the latest base; 50/50 before the final rebase)
• npm run build — Core, Storage, and MCP passed; the full command stopped in unrelated @maka/runtime compilation because the shared local dependency tree lacks @slack/web-api / @slack/socket-mode and exposes a mismatched HttpsProxyAgent type
• npm run typecheck — affected MCP workspace passed; the aggregate command reported the same unrelated local @maka/runtime dependency errors above

The pre-change failure is load-sensitive rather than deterministic on every local run; the linked issue records the failing CI run and a code-identical successful rerun.

AI use

Select exactly one:

• No generative tool made a substantive contribution
• Generative tooling made a substantive contribution

Tool(s) and scope: OpenAI Codex assisted with diagnosis, the test synchronization change, verification, and PR preparation. The commit carries Generated-by: Codex; CuSO41108 is the human contributor of record.

Checklist

• Tests cover the change and fail without it
• Lint, format, typecheck and the affected suites pass locally

Does this PR entail a change in behavior?

• Yes — described under Summary above
• No

[Copilot]

Pull request overview

This pull request stabilizes the MCP refresh-budget E2E test by synchronizing with successful manager refresh publication.

Changes:

• Adds a bounded 30-second test timeout.
• Replaces wall-clock polling with refresh-publication synchronization.
• Retains request-count assertions without changing production behavior.

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[CuSO41108]

Hi @Astro-Han, could you please approve the pending GitHub Actions workflow run for this fork PR? The required test check is currently waiting for maintainer approval, so CI has not started yet. Thank you!