How do you handle a situation in an interview when asked about mistakes on resume or cover letter?

My story: I had been very stressed from sending out numerous internship applications and receiving rejections on almost all of them. So much that I would make a mistake on either the resume or cover letter and only realise it the next day.

I could avoid many mistakes like this but one day I actually messed up. I usually try to mention “my availability to work in a location” and on this particular one I ended up putting the wrong city name.

Today I got an email from one of the recruiters mentioning this and then telling me that the position is based in another city. Also asked was whether I am open to work in this city.

And so I was wondering, if you ever had such a situation and you were asked about it in an interview, what did you say to get out of this and not let the recruiter think that you did not do a thorough research on the company and position?