Reland "[Android] Use HistogramWatcher in NQETest"

This is a reland of commit d5e2520a

No changes, but should be submitted after
https://chromium-review.googlesource.com/c/chromium/src/+/4338438
which removes the API 24+ calls from HistogramWatcher.

Original change's description:
> [Android] Use HistogramWatcher in NQETest
>
> Bug: 1412882
> Change-Id: I29c42ca237a00885c2e2ccf21869216998404cc9
> Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/4321607


> Commit-Queue: Henrique Nakashima <hnakashima@chromium.org>
> Reviewed-by: Richard Coles <torne@chromium.org>
> Cr-Commit-Position: refs/heads/main@{#1115268}

Bug: 1412882, 1423881
Change-Id: I563e838a5108885adce2277daae9d7a76682ecb4
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/4337004


Commit-Queue: Henrique Nakashima <hnakashima@chromium.org>
Reviewed-by: Richard Coles <torne@chromium.org>
Cr-Commit-Position: refs/heads/main@{#1120045}