ChecksFinder: Refactor/Cleaning (#3725)

* Update ChecksFinder

* minor cleanup

* Check for compatible name

* Enable APWorld

* Update setup_en.md

* Update en_ChecksFinder.md

* The client is getting updated instead

* Qwint suggestions, ' -> ", streamline fill_slot_data

* Oops, too many refactors

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Co-authored-by: SunCat <suncat.game@ya.ru>

setup.py

@@ -66,7 +66,6 @@ non_apworlds: set = {
     "Adventure",
     "ArchipIDLE",
     "Archipelago",
-    "ChecksFinder",
     "Clique",
     "Final Fantasy",
     "Lufia II Ancient Cave",