[Feature]: Show webserver logs about playwright HOT 2 OPEN

I've demo'd this yesterday at our team meeting, and folks liked it. My demo was nothing but a hack, and i've spiked at actually implementing it now. Hit some open questions:

• Is this a dev-mode-only feature, or do we also want it for CI-run traces?
• If we want it in traces, how do we get the stdout from the test runner host all the way through test workers into the Tracing instance on the server?

from playwright.

Also some more thoughts around the potential of this: If Playwright attached some sort of correlation token to each of the executed actions, and that was passed through all the way to the webserver (this part needs framework support), then we could show which server logs were emitted by what actions. Pavel said there's already a spec for this from the Chrome folks, but it didn't get picked up widely.

from playwright.