Well, Nebraska requires a handgun be able to deliver 400 ft lbs at 50 yards. I don't think you have that. Winchester lists the specs on that ammo at 920 fps. That gives you a MUZZLE energy of about 423 ft lbs. I think it will shed more than 23 ft lbs at 50 yards.
Would it stop a deer? Bullet in the right place, probably. It is legal? Don't think so. And not that you asked me, but for deer (I use a LOOOOONG barreled 357) I do not use HP ammo, but the heaviest hard cast solid I can load.