Refactor integration startup time to show wall clock time (#113707)

* Refactor setup time tracking to exclude time waiting on other operations

We now exclude the import time and th time waiting on
base platforms to setup from the setup times

* tweak

* tweak

* tweak

* tweak

* adjust

* fixes

* fixes

* preen

* preen

* tweak

* tweak

* adjust

* tweak

* reduce

* do not count integrtion platforms against their parent integration

* handle legacy tts platforms

* stt as well

* one more wait

* use the same pattern in all the legacy

* fix tts and stt legacy

* fix

* fix

* reduce

* preen

* entity comp does not wait for platforms

* scene blocks as well

* fix test

* test fixes

* coverage

* coverage

* coverage

* fix test

* Update tests/test_setup.py

Co-authored-by: Martin Hjelmare <marhje52@gmail.com>

* Update tests/test_setup.py

Co-authored-by: Martin Hjelmare <marhje52@gmail.com>

* Update homeassistant/setup.py

Co-authored-by: Martin Hjelmare <marhje52@gmail.com>

* strip

* strip WAIT_PLATFORM_INTEGRATION

* strip WAIT_PLATFORM_INTEGRATION

* strip WAIT_PLATFORM_INTEGRATION

* strip WAIT_PLATFORM_INTEGRATION

* remove complexity

* Apply suggestions from code review

* no longer works that way

* fixes

* fixes

* fixes

---------

Co-authored-by: Martin Hjelmare <marhje52@gmail.com>

homeassistant/components/device_tracker/legacy.py

@@ -50,6 +50,7 @@ from homeassistant.helpers.event import (
 from homeassistant.helpers.restore_state import RestoreEntity
 from homeassistant.helpers.typing import ConfigType, GPSType, StateType
 from homeassistant.setup import (
+    SetupPhases,
     async_notify_setup_error,
     async_prepare_setup_platform,
     async_start_setup,
@@ -307,7 +308,12 @@ class DeviceTrackerPlatform:
         assert self.type == PLATFORM_TYPE_LEGACY
         full_name = f"{self.name}.{DOMAIN}"
         LOGGER.info("Setting up %s", full_name)
-        with async_start_setup(hass, [full_name]):
+        with async_start_setup(
+            hass,
+            integration=self.name,
+            group=str(id(self.config)),
+            phase=SetupPhases.PLATFORM_SETUP,
+        ):
             try:
                 scanner = None
                 setup: bool | None = None