Update release documentation to use uv

[timsaucer]

Is your feature request related to a problem or challenge? Please describe what you are trying to do.

This is a follow up to #1012

We should update this documentation to include dependency requirements for testing the repo. Now that we use uv it can be complicated to make sure you're installing dependencies but not installing the project. Rather, you want to get it from testpypi

Describe the solution you'd like

Updated documentation.

[timsaucer]

Also requires updating the verify release candidate script