ci: update one-pipeline fixing failing auto_inject test [backport 2.21]

[nsrip-dd]

Cherry picks #13398 and #13660 to 2.21

Checklist

• PR author has checked that all the criteria below are met
• The PR description includes an overview of the change
• The PR description articulates the motivation for the change
• The change includes tests OR the PR description describes a testing strategy
• The PR description notes risks associated with the change, if any
• Newly-added code is easy to change
• The change follows the library release note guidelines
• The change includes or references documentation updates if necessary
• Backport labels are set (if applicable)

Reviewer Checklist

• Reviewer has checked that all the criteria below are met
• Title is accurate
• All changes are related to the pull request's stated goal
• Avoids breaking API changes
• Testing strategy adequately addresses listed risks
• Newly-added code is easy to change
• Release note makes sense to a user of the library
• If necessary, author has acknowledged and discussed the performance implications of this PR as reported in the benchmarks PR comment
• Backport labels are set in a manner that is consistent with the release branch maintenance policy

[github-actions]

CODEOWNERS have been resolved as:

.gitlab/one-pipeline.locked.yml                                         @DataDog/python-guild @DataDog/apm-core-python
.gitlab-ci.yml                                                          @DataDog/apm-core-python

[pr-commenter]

Benchmarks

Benchmark execution time: 2025-06-13 18:31:49

Comparing candidate commit a7b797e in PR branch backport-13660-to-2.21 with baseline commit 7615f42 in branch 2.21.

Found 0 performance improvements and 0 performance regressions! Performance is the same for 164 metrics, 2 unstable metrics.