The event pets will become between an uncommon to a rare. With them not having their rarity it's a bit hard to determine the value of the pets a little. It honestly depends if you want doubles or not. even if the deer do turn rare, there's people that follow the 2:1 ratio. 2 commons equal an uncommon. so 2 commons plus the 1 uncommon dog could equal 1 rare, equally to one of the deer (if it is to turn to a rare) as 2 uncommons could equal to 1 rare.
It could be slight under pay to the deer, as the 07-22 dog and the lion still don't have their rarity. They may be uncommon but then again they could be common or even below, no rarity pets are quite hard to determine . Sometime people even ask for more for non rarity pets.
This trade either be slightly underpay to the deer or just about right. or to be on the safe side, you could add another common or two or another uncommon from 2022
I hope this make sense and hope it helps!
Personally I would wait for rarities to come, if it were me or do event swaps