The right trigger will be on your left-hand side when working on the Steam Deck, as it's laying upside down.

The Steam Deck's triggers clip into place on two pegs on the trigger bracket, which doubles as the hinge.

Place the flat end of a spudger onto the inside edge of the trigger's right clip.

Pivot the trigger clip out, away, and up from the peg to unlatch it.

During reassembly, latch the outermost peg first. Once in place, push down on the trigger to latch the innermost peg, producing an audible "click" sound.

Check to make sure that the trigger spring is properly aligned. Test the trigger action before continuing reassembly.