There is such a thing as a second person shooter. Some examples even exist here on itch.io
Even the old text adventure days are, effectively second person: “You are standing outside a small house…”
UPDATE: ok, here’s a throwaway idea. Your target is the host of the game’s camera, under AI control. Their “view” is what the player gets to use to try to control the shooter.
Another option is that the camera is always pointing at the player character, but not from behind. The tracking Resident Evil cameras are occasionally like that, so zombies that the player character would see from a first person perspective are completely invisible to the player looking at the screen. However, looking at the avatar’s face could give clues where the enemy is. As an alt, the AI (and your view) could be of a shooter, and you have to escape, but can only see what they see
