Replaces the old SseServerTransport (broken against current MCP clients —
405s on POST, session-id redirects, no protocol negotiation) with
StreamableHTTPServerTransport. Adds an idle-session sweeper to prevent
abandoned client connections from leaking memory indefinitely, CORS
middleware for browser-based frontend access, and PUBLIC_URL/CORS_ORIGINS
settings so signup responses show the correct connection URL instead of a
placeholder.
Co-Authored-By: Claude Sonnet 5 <noreply@anthropic.com>