I'm traveling business class with my wife from PRG to BCN on Mar 23. This is part of a multi destination award booking I did with US. I got PRG -> FRA (arrive @ 12:15) and FRA -> BCN (depart at 1:00). Will I be able to make this connection considering it's only 45 minutes? I've never been to FRA before. If not, what should I do here?

I wasn't sure if I should post this in the US or LH forum, but since this I'd be calling US to change this I figured this would be the best place. I realize that I'm responsible for this situation because I clearly didn't double check the itinerary as I should have. I was thinking I was on the 4:00 PM flight, not the 1:00 PM flight. There is still award availability on the 4:00 PM as of right now.

Can US change this? Will it cost me the $150/ticket to change or will they take responsibility for booking a connection I might not make? Should I just do nothing and just catch a later flight if I miss the connection?

Thanks in advance for any help.