Add unit tests to pre-push

## Summary Add unit tests to pre-push husky hooks, so that unit tests are validated prior to pushing changes. Depends on #440. ### Context > Not a blocker; to consider for follow-on (could split out to an issue): If vitest tests run fast enough, we could add it to husky pre-push hooks (probably not fast enough for pre-commit). _Originally posted by @wrslatz in https://github.com/github-community-projects/private-mirrors/pull/454#discussion_r3168607302_