ci: Remove integration tests from release (#562)

It takes ages and things like that
https://github.com/apify/apify-sdk-python/actions/runs/17151969765/job/48661691142
can happen ... The one who makes the release should make sure they know
what they are doing and that the integration tests on the current commit
are fine.

Author: vdusek

.github/workflows/release.yaml

@@ -61,13 +61,6 @@ jobs:
     with:
       python-versions: '["3.10", "3.11", "3.12", "3.13"]'
 
-  integration_tests:
-    name: Integration tests
-    uses: apify/workflows/.github/workflows/python_integration_tests.yaml@main
-    secrets: inherit
-    with:
-      python-versions: '["3.10", "3.13"]'
-
   update_changelog:
     name: Update changelog
     needs: [release_metadata, lint_check, type_check, unit_tests, integration_tests]