What happens if you take the invoice off dispute and then dispute it again?

Basically nothing. As invoice is part paid, there is "p" showing next to value no matter is invoice is in dispute or not. There is no change when I take invoice off and dispute it again.

I have one exception where I have a customer's invoice in dispute and it doesn't show anything alongside it, but when I take this invoice out of dispute, 'd' appears and when I marked back as dispute "d" is gone. Work the other way around, but this is only with one customer.

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