Extract/generalize Playwright int framework

[smeubank]

As a JS SDK Developer
I want to write integration tests for different packages based on a framework
Which is abstracted in such a way that it is re-usable
So that i can add integration tests in a similar way across many packages
And we can ship features more confidently considering the ability to add int tests across the JS SDKs mono-repo

Definition of Done:

• Generalize work from related issue for setting up the playwright integration framework into it’s own package
• Browser SDK Integration Tests #3989
• New integration tests for @sentry/browser and core. #3841
  • so that it is reusable by packages other than browser

Should this be included?

• include int test @sentry/tracing is meant to be consumed alongside other packages.
• int test will live in @sentry/browser
• We need to figure out where integration tests for tracing should live, and how they pull in different packages.