fix(replay): browserReplayIntegration should not be included by default

[krystofwoldrich]

• Backport https://github.com/getsentry/sentry-react-native/pull/4270 for v5

[github-actions[bot]]

Android (new) Performance metrics :rocket:

	Plain	With Sentry	Diff
Startup time	382.26 ms	408.18 ms	25.92 ms
Size	7.15 MiB	8.39 MiB	1.24 MiB

[krystofwoldrich]

Sadly, the v5 CI is out of date, we have to fix it first, unrelated to changes in this PR.