Charmhub integration tests are getting skipped in CI
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Issue body
### Bug Description
CI is skipping the integration tests that push to charmhub.
### To Reproduce
https://github.com/canonical/craft-store/actions/runs/15936558372/job/44957531647
### part yaml
```shell
```
### Relevant log output
```shell
============================= test session starts ==============================
collecting ... collected 282 items / 254 deselected / 28 selected
tests/integration/test_get_list_releases.py::test_charm_get_list_releases SKIPPED [ 3%]
tests/integration/test_update_resource_revisions.py::test_charm_update_resource_revisions SKIPPED [ 7%]
tests/integration/charmhub/test_charmhub_workflow.py::test_full_charm_workflow SKIPPED [ 10%]
tests/integration/test_push_resource.py::test_charm_push_resource[None] SKIPPED [ 14%]
tests/integration/test_push_resource.py::test_charm_push_resource[bases2] SKIPPED [ 17%]
tests/integration/test_push_resource.py::test_charm_push_resource[bases3] SKIPPED [ 21%]
tests/integration/test_push_resource.py::test_charm_push_resource[bases1] SKIPPED [ 25%]
tests/integration/test_upload.py::test_charm_upload SKIPPED (CRAFT_S...) [ 28%]
tests/integration/test_release.py::test_charm_release SKIPPED (CRAFT...) [ 32%]
tests/integration/publisher/test_read.py::test_list_releases SKIPPED [ 35%]
tests/integration/publisher/test_read.py::test_get_package_metadata SKIPPED [ 39%]
tests/integration/publisher/test_read.py::test_list_revisions SKIPPED [ 42%]
tests/integration/test_list_resource_revisions.py::test_charm_list_resource_revisions SKIPPED [ 46%]
tests/integration/test_list_revisions.py::test_charm_list_revisions SKIPPED [ 50%]
tests/integration/test_register_unregister.py::test_register_unregister_cycle[bundle] SKIPPED [ 53%]
tests/integration/test_register_unregister.py::test_unregister_nonexistent SKIPPED [ 57%]
tests/integration/test_register_unregister.py::test_register_unregister_cycle[charm] SKIPPED [ 60%]
tests/integration/publisher/test_write.py::test_register_unregister_cycle[charm] SKIPPED [ 64%]
tests/integration/publisher/test_write.py::test_release SKIPPED (CRA...) [ 67%]
tests/integration/publisher/test_write.py::test_create_tracks[0.32-None] SKIPPED [ 71%]
tests/integration/publisher/test_write.py::test_create_tracks[None-None] SKIPPED [ 75%]
tests/integration/publisher/test_write.py::test_register_unregister_cycle[bundle] SKIPPED [ 78%]
tests/integration/publisher/test_write.py::test_create_tracks[0.32-\\d+] SKIPPED [ 82%]
tests/integration/publisher/test_write.py::test_create_tracks[None-\\d+] SKIPPED [ 85%]
tests/integration/publisher/test_write.py::test_create_tracks[50-\\d+] SKIPPED [ 89%]
tests/integration/publisher/test_write.py::test_create_tracks[50-None] SKIPPED [ 92%]
tests/integration/publisher/test_write.py::test_create_disallowed_track SKIPPED [ 96%]
tests/integration/publisher/test_write.py::test_create_existing_track SKIPPED [100%]
===================== 28 skipped, 254 deselected in 0.94s ======================
```
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