Refactor GitHub Release Script

[nlordell]

This PR completely refactors the release script 🙈.

The previous script was built on the assumption that GitHub actions could push to protected branches, but it turns out that this is kind of complicated to setup without sacrificing some branch protections that we apply to main and I don't want to touch.

Instead, we change the release flow to:

1. Automatically create a PR to GitHub to bump the version
2. Create a draft release
3. Publish the draft release once it shows up on NPM.

Test Plan

This script should do all that now, and once this merges, we should be able to test the flow by:

1. Triggering the flow to create the version bump PR
2. Merge the version bump PR
3. Triggering the flow to create a draft release
4. NPM publish the tarball attached to the release
5. Triggering the flow to publish the draft release

Tested on my local fork and was able to automatically create releases.

Screenshots

Future Work

Once the private runner that publishes to NPM is setup, we can run the action hourly.