Support Instrumentation API

[chargome]

React Router exposed the new experimental instrumentations API.

We need to investigate how we can leverage the new API for adding Sentry instrumentation. As a first step we likely want to export Sentry-specific instrumentations that user have to add to their instrumentations array manually (both client and server).


Additional information can be found here

[linear]

JS-1132

[github-actions]

A PR closing this issue has just been released 🚀

This issue was referenced by PR #18580, which was included in the 10.37.0 release.