Add log level setting in UI #188

Is your feature request related to a problem? Please describe.
This arises from a recent set of changes..

• Add periodic logging messages to Everything server. modelcontextprotocol/servers#847
• Add support for server logging messages #185

...that let log messages surface in the UI. For testing, the Everything example server was also amended to periodically send randomly leveled log messages.

Describe the solution you'd like
There should be a dropdown in the UI, probably by the connect button, but only visible when connected, that holds the log levels. On change it would send a setLevelRequest message to the server.

Describe alternatives you've considered
Not doing it at all. Seems like we should though.

Additional context
Add any other context or screenshots about the feature request here.