The server seed used on Stake.us is a 64 digit hexadecimal number which has 16^64 possible permutations. That’s actually the same as 2^256 which is the level of encryption as a SHA-256 encryption. Here is a fabulous video 3Blue1Brown made explaining what it would take to brute force that many permutations: https://youtu.be/S9JGmA5_unY?si=wvKLiM4Y2Myh4tgc
What I’m about to share is strictly against stake.us terms and conditions and could get you banned from the site or even sued, but if you wanted to try and systematically get your active seed, here’s what you could try.
Auto play any provably fair game for a full day from 12:01 A.M. to 11:59 P.M., then wait for all those games will be saved to your archives. Download the archives. Write a program that will put the client seed, nonce, and result into a list of lists. Loop through the list until you find 5-10 of the rarest results (Plinko prize result 0 or 16, Dice roll 99.99, etc.). Save those specific nonces. Write a function to generate a random server seed and run the fair play calculation for the saved nonces and calculate the absolute difference between the real results and your results. Write a function to change one character of the server seed and run the calculation again until the results are closer to the real results. Continue this process until you get a seed that matches the real results of those 5-10 instances and you will have engineered a seed for that specific game that will get you results at least 99.9% accurate to that game.
Note: that still may not be the exact server seed, but it will certainly be a close second. You can always put that engineered seed into a sha256 encryption website and