There’s discussion about the same thing in this thread:
I also list some of the cords I have bought that do data sync. You just have to use an adapter to link the cord the lamp socket came with (it has a special plug end) to link to the new cable. So you need to also make sure the adapter between the 2 cords does data too. I list the adapters I use in there as well.
Keep in mind, that with data, the shorter the cord the better usually, so don’t get one that is too much longer than you really need.