This quest requires you to revive a downed teammate. So you need to be in a doubles, triples or squads game mode with at least one other player.

If you are playing with friends you can get this very quickly by asking them to down themselves by damaging themselves. Building a ramp and jumping off works very well!

Otherwise you can play your games normally and wait until a teammate goes down. You have a limited time where you can revive them and enemy players can finish them off. If you are in a spot of bother you can pick up and carry a downed teammate. It's very handy for outrunning the storm or moving to a safe space where you have time to revive.