The system in question has a very close binary pair of 2 G-type stars, a G9V and a G7V, orbiting at about 0.2 AU, with a K2V star in a far orbit about 300 AU out around the both of them. There is a Class Y Brown Dwarf orbiting the pair at about 1.4 AU.
I am wondering potentially how many giant planets you could potentially pack into a system, or if multiple stars tend to hog most of the matter for themselves? Gas giants I kinda like the idea of, but smaller gas dwarfs or super-earths are also fine. I am intending for these planets to be what terrestrial rocky planets orbit, having all been scooped up by various large objects over the course of the system's life.
I am hoping for something in the realm of possibility, but implausibility is ok, as long as things wouldn't tear themselves apart and things are stable.