How to deal with a family member that says sorry they're not perfect?

Someone that you're forced to still be in contact with, like a family member, what to do when all they have to say is 'sorry I'm not perfect' in response to your angry emotions towards something they did or said that angered you? I mean, what's the benefit of that approach as opposed to just using sorry as a sentence filler more often? Do they know/think that they will lose control over you if they act less like a victim in this situation? It's so annoying. I have to then apologize to them for making them feel 'attacked'. Like, they're allowed to make 'suggestions', and you're not allowed to view them as attacks, but when you get mad at THEM, they interpret it as an attack rather than just a discussion, and they need a week to recover! All I asked of them was to say sorry!

How to deal with a family member that says sorry they're not perfect?
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