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Surf and Strength (possible more) HM moves are available even though I have no badges and HM_SKILLS_REQUIRE_BADGE = true and my settings are:
FIELD_MOVES_COUNT_BADGES = true
BADGE_FOR_CUT = 1
BADGE_FOR_FLASH = 2
BADGE_FOR_ROCKSMASH = 3
BADGE_FOR_SURF = 4...
For @SmiCat or others looking to get this working on Essentials v20.1
Here is my script. I do have some things custom positioned as I am using a different background, but play with X and Y coordinates for each sprite to make it work for you.
Main issue was with the way displaying the types...