[ENHANCEMENT] Use our playwright tests for GCP synthetic

Currently, we have a e2e test suit that we run before deploying. And it targets a local environment. We can leverage some of the existing playwright tests (the non screenshot ones) and have them continuously executed (or at least after deploying) against the live environments.

This could reduce the burden on developers who deploy the site by reducing any manual checking after deploying.

https://cloud.google.com/monitoring/synthetic-monitors/samples
https://github.com/hiondev/synthetic-monitor-template