Paint: Implement New Game (#4955)

* Paint: Implement New Game

* Add docstring

* Remove unnecessary self.multiworld references

* Implement start_inventory_from_pool

* Convert logic to use LogicMixin

* Add location_exists_with_options function to deduplicate code

* Simplify starting tool creation

* Add Paint to supported games list

* Increment version to 0.4.1

* Update docs to include color selection features

* Fix world attribute definitions

* Fix linting errors

* De-duplicate lists of traps

* Move LogicMixin to __init__.py

* 0.5.0 features - adjustable canvas size increment, updated similarity metric

* Fix OptionError formatting

* Create OptionError when generating single-player game with error-prone settings

* Increment version to 0.5.1

* Update CODEOWNERS

* Update documentation for 0.5.2 client changes

* Simplify region creation

* Add comments describing logic

* Remove unnecessary f-strings

* Remove unused import

* Refactor rules to location class

* Remove unnecessary self.multiworld references

* Update logic to correctly match client-side item caps

---------

Co-authored-by: Fabian Dill <Berserker66@users.noreply.github.com>

README.md

@@ -80,6 +80,7 @@ Currently, the following games are supported:
 * Jak and Daxter: The Precursor Legacy
 * Super Mario Land 2: 6 Golden Coins
 * shapez
+* Paint
 
 For setup and instructions check out our [tutorials page](https://archipelago.gg/tutorial/).
 Downloads can be found at [Releases](https://github.com/ArchipelagoMW/Archipelago/releases), including compiled