In short, no where. It dies. Don't worry though! Every three seconds all your pets info is saved and will return within the specified respawn time!
Well in the situation you wanna commit a homicide on your friendly companion, psycho all you have to do is bring your pet with you to a Soul Sand Valley in the nether! Where you can murder to your heart's content! ❤️
As of the latest update, no it does not. This is because horses and allays are not technically tamed to the player. Now if the community wants it enough we will do it, until then try to hold your horses. ;)
You can access the config using the command:
/function #eternal_pets:configIf you find any bugs be sure to report them on our Discord server!
If you have any unanswered questions, feel free to join our discord to share your own datapacks, ask questions, and hangout with our community! Official Discord