[e2e] Create a minimal mobile suite

[unlikelyzero]

Summary

We did a first pass at mobile support with an @ipad flag and as the suite has grown and need for mobile stagnated, we need to re-evaluate how we're doing ipad support.

• Move playwright '@ipad' mobile config to a new mobile config to sit alongside the performance, ci, and local.
• Run ipad/mobile tests in a separate pipeline which is not triggered on every commit
• Make a net new suite which can verify the minimal set of tests which include using the generatedLocalStorage data

[unlikelyzero]

Need to address from #5359

Mobile-specific things to test
The mobile-specific things we will need to test:

"mobile touch" works with interactive elements like the search bar
screen orientation changes