tests/integration: address Go 1.24 usetesting issues

[mmorel-35]

Description

Apply usetesting --fix ./... on tests/integration packages and enable usetesting.

Closes #19581

[k8s-ci-robot]

Skipping CI for Draft Pull Request.
If you want CI signal for your change, please convert it to an actual PR.
You can still manually trigger a test run with /test all

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 68.76%. Comparing base (e2b37cf) to head (e098faf).
Report is 1 commits behind head on main.

Additional details and impacted files

see 152 files with indirect coverage changes

@@            Coverage Diff             @@
##             main   #19607      +/-   ##
==========================================
+ Coverage   61.19%   68.76%   +7.56%     
==========================================
  Files         408      421      +13     
  Lines       34693    35855    +1162     
==========================================
+ Hits        21231    24655    +3424     
+ Misses      11852     9767    -2085     
+ Partials     1610     1433     -177     

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[ivanvc]

This pull request is too long. Reviewing it took me a lot of time, spread on different days. To other reviewers, it's a mechanical change from context.{Background(),TODO()} to t.Context() in the integration tests.

If we don't get more reviews, I suggest breaking this into multiple pull requests, @mmorel-35. Thanks.

[k8s-ci-robot]

[APPROVALNOTIFIER] This PR is NOT APPROVED

This pull-request has been approved by: ivanvc, mmorel-35
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[mmorel-35]

I understand the problem and as it's not the first time I'm having this problem of size, I'll seriously need to find or build a tool to split those changes in smaller PR. Maybe splitting in commits per sub folders too ?
Another project has started to use Copilot as reviewer to help. Have you considered it already ?

[mmorel-35]

/assign @wenjiaswe