My understanding of these units is that they are a self contained unit with probably no servicable parts and only a multiplug connector. Considering the fault you have, I presume the panel light and main beam lamp circuits are somehow connected intermally.
Firstly check to see if the panel lights come on when you operate the main beam flash part of the column switch. If this is the case then maybe the fault is internal to the speedo head.
You could try disconnecting the main beam warning light driver wire, blue/white, at the speedo head multiplug to see what happens. If the main beam warning light still comes on when the side light switch is operated then I would think the fault is internal to the speedo head, if it does not then the fault must be a "trick" path between the blue/white lamp driver wire and the car side light circuit which could take a bit of work to pinpoint.
I hope this gives you some pointers to start fault finding.