A profile mismatch reached the caller as a bare AnalysisProtocolError,
which projects to `unreadable_output` with a generic message. The error
already named every missing tool, but none of that detail survived, so
the only way to identify the cause was to log the JSON-RPC traffic and
notice the exchange stopping after `tools/list`.
Throw a ProviderAdapterError instead, carrying the mode, the expected
profile and the missing tool names through the diagnostics channel that
already surfaces in `details`. Document which upstream versions each
profile accepts, since upstream `main` now serves neither.
Refs #2301
Co-authored-by: morluto <76467478+morluto@users.noreply.github.com>
