Deprecate http.api_password (#21884)

* Deprecated http.api_password

* Deprecated ApiConfig.api_password

GitHub Drafted PR would trigger CI after changed it to normal PR.
I have to commit a comment change to trigger it

* Trigger CI

* Adjust if- elif chain in auth middleware

tests/components/api/test_init.py

@@ -407,14 +407,10 @@ def _listen_count(hass):
 
 
 async def test_api_error_log(hass, aiohttp_client, hass_access_token,
-                             hass_admin_user, legacy_auth):
+                             hass_admin_user):
     """Test if we can fetch the error log."""
     hass.data[DATA_LOGGING] = '/some/path'
-    await async_setup_component(hass, 'api', {
-        'http': {
-            'api_password': 'yolo'
-        }
-    })
+    await async_setup_component(hass, 'api', {})
     client = await aiohttp_client(hass.http.app)
 
     resp = await client.get(const.URL_API_ERROR_LOG)