Originally used by John Green in video. The term essentially is used when you wish someone luck in a situation you can't or don't want to help or deal with.
Ex 1: You see ur friend get dragged away by his crazy girlfriend. You then sigh and say "Well I got stuff to do but godspeed to that goat though."
Ex 2: You see a character get caught in a trap in a game and die "Bro....Godspeed to that goat ig" you might say as you continue on.
Ex 3: You see a creepy monster off in the dark distance of a video game that then walks out of frame "Godspeed to that goat though" and you nope right into the opposite direction.
Ex 4: an alternative to "Well good luck with that".