is there anything tricky about aligning a CLS55?

I took the car this week to a local tire and alignment shop that has done my Ferrari and M3 before

I changed the tires (stock sizes) then got an alignment

They have tried three times to align it and it still doesn't track in a straight line

The car is a mint condition, never been in an accident and no suspension components are bent/broken...they even confirmed that

Is there something they are missing?

 

I put on 4 new tires in stock sizes, now the car pulls to the right....didn't do that before the tires and alignment

 

Got my CLS55 done 3 weeks ago for $150. Id take it there due to them able to do it right. Ive had problems with other shops not being able to get it done properly or they complain basically.

 

mine has always pulled to the right. I've had several shops look into it and the GM at the MB dealership drive it. They all said this is normal for an AMG brand and each one said it's aligned according to their machine. I even had the rims and tires examied. It drives me nuts but I've learned to live with it. It's minimal at highway speeds but on a 2 lane road around 30-40 mph it pulls more than I think it should.

 

my CLS55 pulls to the right also, but not too much. I haven't had to replace the tires or performed an alignment as I've only owned this beast for 3 montsh; but I did have the wheels rebalanced. My car also shakes at 75-80mph. And again at over 120mph.
i wonder if it pulls right due to the camber on the road (to drive water towards the curb)?