🛠 Tooling: Investigate simplifying release commenter version name

### Bug Report Checklist

- [X] I have tried restarting my IDE and the issue persists.
- [X] I have pulled the latest `main` branch of the repository.
- [X] I have [searched for related issues](https://github.com/JoshuaKGoldberg/create-typescript-app/issues?q=is%3Aissue) and found none that matched my issue.

### Overview

Following #427 -> #428: per https://github.com/apexskier/github-release-commenter/issues/432, it looks like `${{ payload.release.tag_name }}` should be usable to get the tag name of the released version. It'd be nice to use that instead of having to manually `run` a command: https://github.com/JoshuaKGoldberg/create-typescript-app/blob/d53c4eea73e084307a2d5eb9386727d0e3bf91ac/.github/workflows/post-release.yml#L8

Investigation required. If this strategy does work, hooray! Accepting PRs!

### Additional Info

_No response_

Start with .github/workflows/post-release.yml at the linked line and compare its current version-name command with the GitHub Actions payload.release.tag_name expression. Read the referenced github-release-commenter issue to verify whether the expression is supported. Done means the release commenter uses the released tag directly and the workflow completes with the expected version name.

Written by the indexing model from the issue text.