To make good their error they could overlook your deduction.
I’d suggest that would be bloody generous (and not something I’d entertain in their position), considering you’ve incurred precisely zero financial impact!
There’s another chap with the same name as me in my organisation, we regularly get each other’s emails, and joke about it. He got my last job offer. Not brilliant from HR. However I just got his nomination for our annual awards ceremony last week. Swings and roundabouts. Whilst this is a minor inconvenience, it’s quite amusing, I don’t really care if he knows what I earn (he probably didn’t even open the attachment to check).
Life’s too short, I’d not be going and creating ill feeling by suggesting you need financial recompense for a minor clerical error.