Prevent unnecessary diagnostics from being sent to the IDE client

See test `ResolutionDiagnosticsAreKeptWhenNonEdgeCrossingChangesAreMade` for more information

### Implementation hints

`NotificationPublisher.publishedDiagnostics` is currently not migrated, that's why the equality check fails and these parse diagnostics are sent. Instead, there should be a single client state for the entire server, which is updated by a Compilation