Consider using the examples as integration tests

[e-moran]

All of the examples are currently used to ensure that specific functionality works, and we also test that they build correctly to ensure that we haven't broken types. It shouldn't be too much work to also run and curl them in CI to automate this further.

[blaine-arcjet]

We have patterns for integration tests. See:

• https://docs.arcjet.com/testing
• https://github.com/arcjet/arcjet-js/tree/main/examples/express-newman