Erik would play competitive games, so he could prove he is the best at it. (And he would probably rage when he loses.)

Akhet, on the other hand, would prefer more contemplative exploration games, as well as puzzle games (think Myst).

Maelbjorn would most probably focus on one kind of games: grand strategy (Crusader Kings 3 for one of the biggest names of the genre). He'd spend hours trying to conquer the world. Virtually, of course.

Tenoch would spend most of his time on RPGs, starting over until he got the ending he wants... and the romance he is drawn to.

As for Vekad, he'd be playing Hunting Simulator and nothing else because, you know, it's Vekad.