reqwest_client: Remove example (#37410)

This PR removes the example from the `reqwest_client` crate, as it
doesn't seem worth maintaining.

Release Notes:

- N/A
7ea7f4e767Marshall Bowers committed on 9/3/2025, 12:52:04 AM· committed by GitHubparent035d7dd
3 files changedLine totals unavailable