Reactor module fixes

[adinauer]

📜 Description

💡 Motivation and Context

💚 How did you test it?

📝 Checklist

• I added tests to verify the changes.
• No new PII added or SDK only sends newly added PII if sendDefaultPII is enabled.
• I updated the docs if needed.
• I updated the wizard if needed.
• Review from the native team if needed.
• No breaking change or entry added to the changelog.
• No breaking change for hybrid SDKs or communicated to hybrid SDKs.

🔮 Next steps

[github-actions]

	Fails
🚫	Please consider adding a changelog entry for the next release.

	Messages
📖	Do not forget to update Sentry-docs with your feature once the pull request gets approved.

Instructions and example for changelog

Please add an entry to CHANGELOG.md to the "Unreleased" section. Make sure the entry includes this PR's number.

Example:

## Unreleased

- Reactor module fixes ([#4160](https://github.com/getsentry/sentry-java/pull/4160))

If none of the above apply, you can opt out of this check by adding #skip-changelog to the PR description.

Generated by 🚫 dangerJS against 2f59bff

[lcian]

Thanks you!

[github-actions]

Performance metrics 🚀

	Plain	With Sentry	Diff
Startup time	385.98 ms	481.86 ms	95.88 ms
Size	1.58 MiB	2.21 MiB	640.28 KiB

Baseline results on branch: lcian/ref/reactor-as-module

Startup times

Revision	Plain	With Sentry	Diff
4bbe412	423.04 ms	466.40 ms	43.36 ms

App size

Revision	Plain	With Sentry	Diff
4bbe412	1.58 MiB	2.21 MiB	640.27 KiB