When I originally got DACA i filed with only one last name and was approved so I got SSN, DL, utilities, everything with just one last name. When I renewed it, I filed with only one last name and they added the second last name. When I filed for AoS lawyer said to use both last names because even if I didn't they would add it in as the GC has to match your passport.

At my interview I asked if she could approve it with just my paternal last name and the immigration officer said no as it had to match my passport. The officer said I could go down to county court and have my name legally changed through court ($) and then send in the paperwork to USCIS and pay for a replacement card with the new legal name ($$$) or I could just wait until I became a citizen and I could legally change my name for free during that process. Going to go with the free route.