XLR cables are usually used to carry balanced signals with the “hot” (in phase) signal on pin 2 (equivalent to T(ip) on a TRS) and the “cold” (inverted phase) signal on pin 3 (equivalent to R(ing) on a TRS.
The output of your dude mixer is a 3.5mm TRS jack which has the same signal on the T(ip) and R(ing).
If you plug you TRS to XLR cable in your Dude (with an adapter of course) the signals will be cancelled out when they get to the mixer or interface (as long as you used a standard balanced XLR input).
You will have the in-phase signal on the left channel and the inverted signal on the right.
Each RIP channel is mono by definition (but balanced out). Using a TS cable will short the inverted signal to ground resulting in a unbalanced signal. In some applications it may lead to distortion, however I do not know if this will be the case with transformer outs (maybe someone can chime in here). In such cases it is common practice to use TRS Jacks but leave the ring floating (unconnected).
So long story short: If you really have to connect your Dude via XLR to another mixer I’d suggest that you use a stereo splitter first and then via unbalanced TS to XLR cable to your mixer (no benefits here however).
Once your RIP is here TRS to XLR is the way to go 