The unconnected-server warning fired on everything `init` listed, which
includes whatever the host's own claude config carries. On the pi that
was seven unrelated connectors parked at `pending` / `needs-auth`
forever — seven bogus lines on every turn, burying the one line the
warning exists to surface.
Scope it to the servers passed in `mcp_servers`. Those are the ones we
have an expectation about; the rest are the host's business.