Graphics Programmer here.
More likely you would just write data to a buffer (basically an array of whatever element type you want) rather than a render target and then read it back to the cpu. Dx, vulkan, etc. all have APIs to upload / download to / from the GPU quite easily, and CUDA makes it even easier, so a simple compute shader or CUDA kernel that writes to a buffer would make the most sense for general purpose computation like an advent of code problem.
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![[2023 day 8] some guy on reddit manged to brute force part 2 in 57 seconds on a gpu(lemmy.ml)](https://lemmy.ml/pictrs/image/65f44515-2e08-4e39-8527-444dc74adb77.png){kind=link}