There are three sets of wires coming to the tstat. One set goes to the ac control board as mentioned 2nd set is power/ground, 3rd wire goes to furnace.
Best way to sort out which set is affected is to look at the schematic for your tstat.
2016 RAM 3500 DRW 4x4 LB LoneStar Edition, w/Timbrens, Andersen Ultimate 2, Swift Hitch SH04 WiFi Backup/Rear View Camera
2018 Chaparral 360IBL w/TST-507 TPMS, Furrion Wireless Observation System, Progressive EMS-HW50C
2006 RAM 3500 DRW LoneStar Edition
2011 Starcraft 392BHU w/Andersen No-Sway hitch