If you don't want to program CUDA kernels yourself, what's the easiest tool for the job? PyTorch, of course. Mutable by default tensors, lots of library operations and generally a pleasure to use.
The programming is really interesting - you start to think in batches - every operation is a parallel operation, it's not 1 player/item doing something, it's a whole lot of them at once - and that's really fast.
I've eventually did run into some problems - for example, ragged/sparse tensors support is not designed for this at all, and since I have variable number of items per player - this is a problem. Also, producing something like logs inside tensors is challenging - reallocation is very expensive and must be done in batches too. There are some other interesting things like launching several operations / CUDA kernels at once.