Stick pegged it. Ply can really build up heat when used the way you're using it. That heat will surely cause damage that will show up as power loss.
Jig saw first with about 1/8th or so left around the pattern. You then use a trim bit with a bearing and a pattern of 1/4 inch mdf or light ply. I have gotten some Chinese ply in the past the center of which was filled with narrow strips of banboo. It you had that stuff, it would have rapidly dulled your bit beyond usefulness, which would also make the router bog down.
Or, just cut the thing out with a jig saw as close to your outline as possible. Lay painter's tape on the surface of the ply where you're drawing the outline, this will reduce chipout. You might want to further clean this cutout by using a 1/8th roundover to eliminate splinters. This method will allow you to make a paper cutout of your project, which will help you apply the tape. Press the tape down well.
I have a Triton TRA001 in my table and it is a delight. Most everyone here who has one, likes it. It is, however, a little too awkward and heavy for me to use it freehand (I'm old). If money isn't an issure, consider just getting one for your table. Sounds like your present router is going in for repairs soon, so this is a perfect excuse to get what you really want.
The more I do, the less I accomplish.