Question - Can a 9 spd Truativ crank work on a bbright system

Hi,
I’m considering purchasing a cervelo r3 frameset which has a bb right system. I plan on making this my winter ride and so components aren’t important I plan on using 9 speed stuff. The crank I want to use is a Truativ crankset. I have a rotor bb cup 46/24 will this work along with an adapter to make it smaller?

If not can I buy the right pieces to marry up the Trutativ crank with a bbright system.

Thanks so much.