I have return trip from SFO-AMS booked with BA but outbound is EI metal and inbound is AA metal. Can I credit the flights on EI metal (with BA flight codes) to mileage plan? The website says no but I thought I will check here. Here are the flight numbers and booking classes:

British Airways 6146 (EI metal) clss R SFO-DUB
British Airways 8966 (EI metal) Class Y DUB-AMS
British Airways 1626 (AA metal) Class R AMS-PHL
British Airways 6703 (AA metal) class J PHL-SFO

Thanks in advance for any inputs.