deps: verify hayate-mcp 0.12.1 in golden app

[yhay81]

Summary

• require and lock the published hayate-mcp 0.12.1 wheel
• regenerate the checked compatibility JSON and Markdown with the new lock digest
• establish the golden-app evidence needed for the organization compatibility snapshot

Local verification

• 24 direct tests passed, 1 browser test passed
• Ruff, 16 checked SQL contracts, OpenAPI/client drift, zero JS runtime dependencies, npm audit
• real ASGI flow and real workerd class/global flows on Node 24.18.0
• pip-audit and zizmor passed

The workerd MCP path executes the negotiated MCP 2026-07-28 discovery and complete-result tool flow.