That copper strip is EITHER a shield, as Max offers, OR it may be a secondary winding. I have seen copper and also aluminum strip used in transformers.
OK,and certainly with a single connection that would be the case. When I built a tape-wound transformer the two connections were separated by many layers, since it was one turn per layer.
So I suggest, before the TS does any more disassembly, using an ohm meter to check for continuity with another pin. It could be a compact higher current transformer.
Also, why would an inter-winding shield be on the outside of a transformer??
Usually, if a transformer is to be totally shielded, that is done with the steel shells. Primary from secondary shielding is only efffective between the primary and secondary, like most other shielding, to isolate the source from the receiver.
But, as I inspected the photo again, I see that quite a bit has been unwound from the transformer spool already, and a lot of the strip is exposed, enough for quite a few turns around the bobbin. Is there a