Automate e2e tests for all examples

Keeping all examples working as API changes are made is cumbersome. I believe the major pain point here is knowing what needs to updated. Currently, this requires manually running each example and verifying output.

I believe we would be able to greatly increase our confidence that examples are all working as expected by creating very light e2e tests. As a first pass, I purpose we simply check that content gets rendered rather than a `RedBox`.

This should help us mitigate issues like #351 and #360

Start by locating the repository's examples and any existing end-to-end test entry points, then inspect how examples are rendered and how API changes affect them. Define the first-pass check as confirming rendered content without a RedBox, and run it across every example; done means all examples pass.

Written by the indexing model from the issue text.