ci: test upload artifacts to test.pypi.org [backport 2.11] (#10342)

Backport dcd83f0 from #10271 to 2.11.

In order to have 1:1 with what we upload to pypi.org we need #10305. It
is ok to merge this PR with that one, we will just be missing the sdist.

When building tags test uploading built files to https://test.pypi.org/

## Checklist
- [x] 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](https://ddtrace.readthedocs.io/en/stable/releasenotes.html)
- The change includes or references documentation updates if necessary
- Backport labels are set (if
[applicable](https://ddtrace.readthedocs.io/en/latest/contributing.html#backporting))

## Reviewer Checklist
- [x] 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](https://ddtrace.readthedocs.io/en/stable/versioning.html#interfaces)
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](https://ddtrace.readthedocs.io/en/latest/contributing.html#backporting)

Co-authored-by: Brett Langdon <brett.langdon@datadoghq.com>

.gitlab-ci.yml

@@ -6,6 +6,7 @@ stages:
   - benchmarks-pr-comment
   - macrobenchmarks
   - dogfood
+  - release
 
 include:
   - remote: https://gitlab-templates.ddbuild.io/libdatadog/include/one-pipeline.yml

.gitlab/release.yml

@@ -0,0 +1,42 @@
+variables:
+  PYPI_PUBLISH_IMAGE: registry.ddbuild.io/images/mirror/python:3.12.0
+
+.release_base:
+  stage: release
+  only:
+    # v2.10.0
+    # v2.10.1
+    # v2.10.0rc0
+    # v2.10.0rc5
+    - /^v[0-9]+\.[0-9]+\.[0-9]+(rc[0-9]+)?$/
+
+.release_pypi:
+  extends: .release_base
+  image: ${PYPI_PUBLISH_IMAGE}
+  tags: [ "arch:amd64" ]
+  variables:
+    TWINE_USERNAME: "__token__"
+    TWINE_NON_INTERACTIVE: "1"
+  before_script:
+    - export TWINE_PASSWORD=$(aws ssm get-parameter --region us-east-1 --name "ci.${CI_PROJECT_NAME}.${PYPI_REPOSITORY}_token" --with-decryption --query "Parameter.Value" --out text)
+    - python -m pip install twine
+    - python -m twine check --strict pywheels/*
+  script:
+    - echo "python -m twine upload --repository ${PYPI_REPOSITORY} pywheels/*"
+  artifacts:
+    paths:
+      - pywheels/*.whl
+      - pywheels/*.tar.gz
+
+release_pypi_test:
+  extends: .release_pypi
+  dependencies: [ "download_ddtrace_wheels" ]
+  variables:
+    PYPI_REPOSITORY: testpypi
+
+# TODO: Replace GitHub Action PyPI upload with this job
+# release_pypi_prod:
+#   extends: .release_pypi
+#   needs: [ "release_pypi_test" ]
+#   variables:
+#     PYPI_REPOSITORY: pypi