since we can't have a tigress in our pride I have a suggestion for implementing any hybrid that takes a male lion to make in phases

first phase: the leak like a plane crash with busted open crates just find it in explore a breeding program or something had a plane crash and now the tigresses or other female big cat are loose

second phase the hanky panky: you find one in explore or across the site in some manner for the leopard the encounter exists with a flirt option

third phase the wait: a timer for a pregnancy period and rearing up until adolescent, you can have continued check ins on the female across explore encounters or with the snake for stat boosts have mini quests like provide a set number of food points, amusement items, nesting material basically take care of your beau like you would a lioness in your pride, The mother would serve as a brood mother as well for survivability and she'd be a cub trainer as well

fourth phase bring them into your pride: once the cubs hit adolescent at the earliest the female approaches you stating the cub needs to socialize like a lion or she drops the adult offspring that refuses to leave her with your pride.

they would pass at the same rate as regular hybrids the encounter for conception just as rare as a lioness cheating on your king or getting any offspring from it just as rare, after you have your first gen hybrid standard hybrid breeding would be standard same as any others

edit: someone suggested it as a reverse breeding situation and that might work too.
edit 2: I tend to come up with a general idea and hope people help me hash it out so please just let me know if you have any ideas or thoughts to add I'll add them as future edits and give a shout out to the people if I like it. If it's a problem you pointed out please discuss with me and help find a work around.
edit 3: wild male tigers are known to at least share their kills with cubs they think are theirs so even the she sticks around and you can check in on her is precedented she might even think it's normal. She can't be part of the pride but she can still be around under your pride's protection and imagine all the cute family explore encounters until they join the pride