Add state_translated function to jinja templates (#96906)

* Add state_translated jinja function

* Add tests for load_state_translations_to_cache and get_cached_translations

* Cleanup state_translated template

* Add tests for state_translated jinja function

* Apply black formatting

* Improve code quality

* Apply suggestions from code review

Co-authored-by: Erik Montnemery <erik@montnemery.com>

* Apply suggestions from code review

* Prevent invalid components from loading translations

* Refactor loading translations to cache

* Adjust code issues

* Update homeassistant/helpers/translation.py

Co-authored-by: Erik Montnemery <erik@montnemery.com>

* Refactor listeners that trigger translation loading

* Apply suggestions from code review

Co-authored-by: Erik Montnemery <erik@montnemery.com>

* Apply suggestions from code review

* Adjust invalid function calls, fix code styling

* Adjust code quality

* Extract async_translate_state function

* Apply suggestions from code review

Co-authored-by: Erik Montnemery <erik@montnemery.com>

* Apply suggestions from code review

* Fix tests

* Fix tests

---------

Co-authored-by: Piotr Machowski <PiotrMachowski@users.noreply.github.com>
Co-authored-by: Erik Montnemery <erik@montnemery.com>

homeassistant/bootstrap.py

@@ -35,6 +35,7 @@ from .helpers import (
     recorder,
     restore_state,
     template,
+    translation,
 )
 from .helpers.dispatcher import async_dispatcher_send
 from .helpers.typing import ConfigType
@@ -291,6 +292,7 @@ async def async_load_base_functionality(hass: core.HomeAssistant) -> None:
         platform.uname().processor  # pylint: disable=expression-not-assigned
 
     # Load the registries and cache the result of platform.uname().processor
+    translation.async_setup(hass)
     entity.async_setup(hass)
     template.async_setup(hass)
     await asyncio.gather(