I'm E25K and credit to Air Canada on my flights.
I also have SAS *A Gold.

When I try to access the MLL, the lounge front desk always insists on changing my FF number to the SAS one, but *A rules allow me access by showing my BP and the *G card from SAS (which is digital).

What phrasing should I use to convince them to not do that and just allow me access via the *G credentials? I know this is permitted under *A / Gold rules but they seem to really struggle to figure it out. I'm hoping if I make it easier for them it will take less time during the times when there's a line. Should I take a printout? What have others found works?