Wire up background tracing and actions in Perf Monitor (#53460)

Summary:
Pull Request resolved: https://github.com/facebook/react-native/pull/53460

Completes the first pass of adding background performance trace controls in the V2 Perf Monitor UI.

Key changes:
- Initiates background trace on `PerfMonitorOverlayManager::init`.
- Wires up background trace recording states in button dialog, and connects `pauseAndAnalyzeBackgroundTrace` and `resumeBackgroundTrace` actions.
- Moves UI manager/view classes into `perfmonitor` subpackage.
- Fixes `responsivenessScore` determination/UI coloring.
- Adds tooltip UI to the overlay view.

Changelog: [Internal]

Reviewed By: javache

Differential Revision: D80807554

fbshipit-source-id: 53360c2d454adfbba40fd795d400b28d90ff9e61