My understanding of a FET + 7135 driver is that the 7135 is in parallel with the FET. Are you soldering skills ok? I’d open up the “OUT” pin of the 7135. That’s the pin in the picture that looks like its not soldered all the way (the one to the left as you look at the 7135). I’d get an Xacto knife to pry up the pin as you heat it with soldering iron. Solder wick would help if you have that. Basically lift the pin just enough so that its not making contact with the board and that will take the 7135 out of the circuit and see if the problem goes away. That wouldn’t fix the problem but it would tell you where the problem is coming from.

This is a bit of a wild shot………….but maybe before you try that, see if there might be a slight stability issue with the 7135 where a capacitor between the “out” pin and the “gnd” pin of the 7135 fixes it. I noticed that the data sheet for the 7135 suggests a capacitor between the “out” pin and ground depending on pcb layout and distance of 7135 from LED. I think that this pcb is ok without one but it might not hurt to temporarily place a 0.1uf cap between “out” and “gnd” pin of the 7135 and see if that does it. You could also take your finger and touch both of those pins at the same time and see if the problem goes away. Just make sure you haven’t walked across the carpet and have any static before doing so. The “gnd” pin is in the middle. Sometimes just a little capacitance is all it takes.