[v6.2] Backport #10707, #13946

[justinas]

• Release automation improvements (Release automation improvements #10707) - this one was not previously backported as I was not aware we sometimes still release v6 patches for critical issues.
• Fix artifact registration in Releases API for Teleport Connect (Fix artifact registration in Releases API for Teleport Connect #13946) - Teleport Connect is only on v10+, however I am backporting this for consistency and to minimize merge conflicts down the road.

[zmb3]

@justinas do we still want to merge this?

[justinas]

@justinas do we still want to merge this?

Ideally, yes, if we are going to have any further 6.2 releases. This got stale because of DocTest failing, I tried to remedy in #14990, but did not get too far with that one and we shifted our focus elsewhere.

[espadolini]

Didn't mean to do that, accidentally tapped the button and I can't undelete it from my phone 😬