After being unable to program my Amazon Fire Stick remote to control my JVC LT58EC3508 TV, I decided to try the "Auto Test" feature of the "IR Code Finder NEC protocol" Android app. This feature runs through all of the codes in the app's database one-by-one.

Lo and behold, partway through my TV turned on. According to the app, the magical code corresponds to device/address "01FE" and command "48B7".

Is there a way to translate these NEC protocol codes to an IR profile code to feed to my Amazon Fire Stick?