[CI] Lint and format action breaks if any change required

It appears the new lint and format GH action is unable to write to PRs.

Husky can also be configured to do this.

- Doesn't make changes on remote for a local branch
- Husky is already configured and proven to work
- The old litegraph repo is already configured in this way (removes unused imports on commit)

```
[detached HEAD b4f0cad2] [auto-fix] Apply ESLint and Prettier fixes
1 file changed, 2 deletions(-)
fatal: You are not currently on a branch.
To push the history leading to the current (detached HEAD)
state now, use

git push origin HEAD:

Error: Process completed with exit code 128.
```

┆Issue is synchronized with this [Notion page](https://www.notion.so/Issue-4933-CI-Lint-and-format-action-breaks-if-any-change-required-24d6d73d365081eca78ac7c4b970c0ea) by [Unito](https://www.unito.io)