feat: Split tracing integration into separate layers

[szokeasaurusrex]

• rewrite docs
• WIP: Initial clanker version
• more WIP: logs layer refactor
• WIP: Expand changes to other filters, and improve docs
• move tests to new api

[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

### Features

- Split tracing integration into separate layers ([#1342](https://github.com/getsentry/sentry-rust/pull/1342))

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