test(amazonq): Improve doc telemetry unit test robustness

[KevinDing1]

Problem

Still testing

Solution

---

• Treat all work as PUBLIC. Private feature/x branches will not be squash-merged at release time.
• Your code changes must meet the guidelines in CONTRIBUTING.md.
• License: I confirm that my contribution is made under the terms of the Apache 2.0 license.

[jpinkney-aws]

It looks like you're still testing this PR so I converted it to draft!