Baseline host state when baselining tsserver tests (#50678)

* Some more formatting to have baselines similar to what we have in tsserver.log

* Some refactor

* Baselines

* Baseline host details on each request

* More formatting per tsserver log

* More baselining of host state

* Update Baselines and/or Applied Lint Fixes

* Use utc time in logger for baselines

Co-authored-by: TypeScript Bot <typescriptbot@microsoft.com>