Lamp connector on Soundcraft GB4 (I think GB2 is the same)

Sort of XLR (Cannon) connector with 4 pins

Pinout:

pin 1    +12C DC
pin 2    Nothing
pin 3    +12V DC
pin 4    GND

Lamp Stairville LEDXLR4A

Thomann.de, part (artikel) 180235

This lamp has the following pinout :

pin 3     GND
pin 4     +12V DC

On the thomann.de site, in the description of the part, you find the opposite pinning. I don't know if the site is wrong or if I get a bad part from them. In any case, it is very easy to adapt it to anything because you can easily open the cover and solder the wires as you need.

In order to use this lamp on a Soundcraft GB4, you have to modify it: