Add additional websocket debug logging

[jakekaplan]

I am trying to identify some potentially odd behavior around how events are sent via websocket. These debug logs will help give us a better understanding of how the websocket client is working, how often it reconnects and what it spends the most time on.

[codspeed-hq]

CodSpeed Performance Report

Merging #16801 will not alter performance

_{Comparing add-websocket-debug-logging (f127c79) with main (5f1ebb5)}

Summary

✅ 2 untouched benchmarks