Set up testing with Playwright

[joseph082]

Is your feature request related to a problem? Please describe.
We currently have no tests.

Describe the solution you'd like
Set up Playwright

Significant challenges:

• OAuth - Using own email, shared email, or fake email and fake auth
• Handling tests that run in parallel without making a super long test
• GitHub Actions - especially when there's a migration (might have to use Docker for database)