Add Sentry Monitoring

[rymaju]

Description

Add Sentry! https://docs.sentry.io/platforms/javascript/guides/nextjs/

We want to add sentry to our API endpoints. Ideally we start tracing from when a request hits an endpoint to where it throws an error. Follow the guide linked above and simply follow it for our repo.

Ideally we want to be able to trace the request all the way from when it is requested via the frontend, all the way to the backend (for client requests) However, this would require an interceptor for react-query and is considered extra credit.

Acceptance Criteria

Well, we add sentry to the project. Ideally we check that the logging actually works too by seeing the requests come in via the sentry dashboard.