To reframe the problem with purely random "Tactics", some frequencies may be an inefficient way to get to desired states of the system. That is, it is useful to consider the correlation between random inputs across time.

This reminds me a lot of the problem space involving Perlin Noise. I'd hypothesize that by using a fractal noise pattern you can generate inputs with correlated values yet still remain random enough to get to any state. Have you tried using noise generators for random inputs?