Getting interviewed for a job at the same location I had another interview for but for a contractor instead.

Hi all.

I made a post a couple of weeks ago about a job I interviewed for but I was turned down for being over qualified, despite the interview being very positive and getting along well with the hiring managers.

I am now interviewing for a very similar role at the same company site but for a site based contractor, not the primary company.

Should I let the interviewer know that I interviewed for their client for a very similar role but didn't get the job? Does even matter or am I overthinking it all?

Edit: I won't be a contractor myself. The position is full time employment from a global engineering company. I will just be working on their clients site which happens to be the same place I interviewed for a simular position for.