Remove references/calls to legacy Reprocessing

[Swatinem]

[github-actions[bot]]

This pull request has gone three weeks without activity. In another week, I will close it.

But! If you comment or otherwise update it, I will reset the clock, and if you label it Status: Backlog or Status: In Progress, I will leave it alone ... forever!

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"A weed is but an unloved flower." ― Ella Wheeler Wilcox 🥀

[Swatinem]

CI failures seem related to more aggressive dead code analysis and updated lints in newer compiler versions. I opened https://github.com/getsentry/sentry-cli/pull/2096 to unblock me here quickly.