Move backup/* WS commands to the backup integration (#110651)

* Move backup/* WS commands to the backup integration

* Call correct command

* Use debug for logging

* Remove assertion of hass.data for setup test

* parametrize token fixture

tests/components/backup/test_init.py

@@ -14,7 +14,11 @@ async def test_setup_with_hassio(
     caplog: pytest.LogCaptureFixture,
 ) -> None:
     """Test the setup of the integration with hassio enabled."""
-    assert not await setup_backup_integration(hass=hass, with_hassio=True)
+    assert await setup_backup_integration(
+        hass=hass,
+        with_hassio=True,
+        configuration={DOMAIN: {}},
+    )
     assert (
         "The backup integration is not supported on this installation method, please"
         " remove it from your configuration"