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Spoiler
So from what I saw in Japanese I think the girl was telling the tiger to go so he won't be hurt but the tiger ends up hurting it self so it wouldn't leave her and it look like she was praying and the formed some sort of connection. They do get away and she get home and heal the tiger this is all a guess from the visuals since I can't read Japanese but the was for chapter 12/13
Can someone spoil abit ? I wanna knowvwhat happen to the tiger ╥﹏╥