The MCP server's lifespan was not being properly chained with the
FastAPI app's lifespan, causing the MCP server to not start/stop
correctly when mounted as a sub-application.
Changes:
- Create MCP app before FastAPI app to access its lifespan
- Chain MCP lifespan context with FastAPI's lifespan context
- Ensures MCP server lifecycle is properly managed
This fix is required for the MCP server to function correctly when
used with Claude Code and other MCP clients.
🤖 Generated with [Claude Code](https://claude.com/claude-code)
Co-authored-by: Claude Opus 4.5 <noreply@anthropic.com>
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