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 (?)