Awake Updates - `TILLSON_11272024` (#36049)

* Update with bug fixes for tray icon and support for parent process

* Process information enum

* Update the docs

* Fix spelling

* Make sure that PID is used in PT config flow

* Logic for checks based on #34148

* Update with link to PR

* Fixes #34717

* Small cleanup

* Proper task segmentation in a function

* Cleanup the code

* Fix synchronization context issue

* Update planning doc

* Test disabling caching to see if that manages to pass CI

* Cleanup to make sure that we're logging things properly.

* Update ci.yml

* Disable cache to pass CI

* Retry logic

* Cleanup

* Code cleanup

* Fixes #35848

* Update notes and codename

* After third attempt, log error instead of throwing exception

* More cleanup to avoid double execution

* Add expected word

* Safeguards for bad values for timed keep-awake

* More updates to make sure I am using uint

* Update error message

* Update packages

* Fix notice and revert CsWinRT upgrade

* Codename update

* Update expect.txt

* Update the struct

* Ensuring we're properly awaiting tray initialization

* Update to make sure tray reflects the bound process

* Cleanup, proper JSON serialization for logs.

* Not needed.

* Add command validation logic

* Moving the initialization logic earlier

* Make sure we show the display state in the tooltip

* Update tray string

* Update src/modules/awake/Awake/Core/Manager.cs

Co-authored-by: Jaime Bernardo <[email protected]>

* Update src/modules/awake/Awake/Core/Manager.cs

Co-authored-by: Jaime Bernardo <[email protected]>

* Update src/modules/awake/Awake/Core/Manager.cs

Co-authored-by: Jaime Bernardo <[email protected]>

* Update src/modules/awake/Awake/Core/Manager.cs

Co-authored-by: Jaime Bernardo <[email protected]>

* Update logic for icon resets

* Update doc

* Simplify function for setting mode shell icon

* Issues should be properly linked

* Minor cleanup

* Update timed behavior

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Co-authored-by: Jaime Bernardo <[email protected]>
Co-authored-by: Clint Rutkas <[email protected]>