Split out progress bar logic from API

[szokeasaurusrex]

This code is more closely related to the utils module's progress bar code than to the api code, so we should move it there. Depends on #2042

Ref https://github.com/getsentry/sentry-cli/issues/2008

[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!

---

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