Would it make sense to have "save state" for mobile?

I am in love with this game but I would like to have some sort of save state on it. Not in the type that if u die, u go back there and revive all the time, but one save state that I can pause the game, do whatever I have to do and come back to play it.

Every dungeon takes around 30 min for me, so sometimes in the middle I need to do something, use my phone or whatever, if I minimize the game, when I come back its gone, should it?

also having pause on the cutscenes would be amazing.