ci: Fixes to publish automation (#29563)

.changeset/popular-llamas-notice.md

.changeset/wet-cherries-hunt.md

.github/workflows/new-release.yml

.github/workflows/publish-release.yml

packages/release-action/src/bumpNextVersion.ts

...s/release-action/src/fixWorkspaceVersionsBeforePublish.ts

packages/release-action/src/gitUtils.ts

packages/release-action/src/index.ts

packages/release-action/src/publishRelease.ts

packages/release-action/src/startPatchRelease.ts

packages/release-action/src/utils.ts