On how to respawn you have to know that it is not the first time that we see the reappearance option, in fact it was first Apex Legends who introduced it to their game, but the important thing is that this game also allows us to do it.
When a partner is shot down, he is sent into a shadow mode where he can do almost anything, except shoot.
To bring your partner back you will have to eliminate an opponent and collect the respawn beacon or a Restoration Point and place it on the floor so that your fallen partner can see and stand on it.
Go to the point where your partner is standing and hold the Interact button so that your partner returns and can continue with the action.
This is all you needed to know about how to respawn in Hyper Scape, so as you already know you shouldn't make any kind of problem when trying to respawn to a fallen partner.