Eames is ambidextrous.

Of course he is. A forger would have to be ambidextrous in order to mimic both right- and left-handed subjects.

Both Peter Browning and The Blonde are right handed.  The Blonde picks Fischer’s pocket with her right hand whereas you can see Eames picking Fischer’s pocket left-handed here.   This had to be a deliberate decision on either Nolan or Hardy’s part. Unless Tom Hardy is himself ambidextrous (?)