Miles & More (Lufthansa, Austrian, Swiss, and other partners) - FCT FRA access on Air India ticket

I will betravelling to India on an Air india First Class fair, ticket issued by Air india (AI flight number), operated by Lufthansa. Do I get access to the First Class Terminal?

First time for me on AI ticket as opposed to LH F ticket that I normally buy.

Yes, as long as you are departing on LH metal in F.