I'll try to put this as clear as possible for the people reading here who don’t want to be misled. Who don’t want to get confused and, potentially, if they somehow manage to solve Puzzle 71, don’t want all their efforts, resources, or luck to go completely to waste.

There are two ways to take the funds from one of the puzzles: One is to find the private key of the  address and transfer the funds to another (your own) address. Finding the key is done through different forms of brute-forcing. The second way is to find the private key through reverse engineering from the public key. But in order to use the second method, someone must have already brute-forced the key and made a public transaction so that the public key becomes known. Different strategies. Personally, I find the second one much dirtier. In the first method, you're beating the game. In the second, you're screwing over a person.

Regarding the transactions. In the end, there are two ways to transfer the funds: via the public mempool and via the private mempool (MARA Slipstream). There have been many arguments about these two methods. Which one is the "right" one. Honestly, I think very few of those arguments have been sincere on either side. I believe that the people who claim that a transaction should go through the public mempool - only a very small portion of them genuinely believe that, and to me, they OBVIOUSLY don’t understand what would actually happen. The other part of people claiming that the public mempool should be used are simply those who also want to take the funds from Puzzle 71, but by using the second method. And if we say that even in MARA Slipstream the funds can be stolen is true, then in the worst case scenario the chances are 50/50. Let’s reduce this to the simplest math: with the public mempool, the chance of the funds being taken is 100 percent. With the private one  50.

Menowa* and Mafioso246 - I completely agree with both of you. And people like SimonNeedsBitcoin and mahmood1356 either have no idea how things actually work, or they’ve simply have a bot and choose to play dirty with the second method.

Thank you for the answer! The explanation was simple, but I just didn't pay attention. I thought there were several puzzles with known public keys, but I hadn’t noticed that it's specifically the ones that are multiples of 5.

Sorry, guys, but unfortunately I have to ask my question for the third time, as Im still curious. SimonNeedsBitcoin steered the conversation in a completely different direction that’s already been discussed multiple times here and whether that path is right or wrong doesn’t concern me. What SimonNeedsBitcoin decided to explain was an answer to a question I never asked. So… once again, I had like to ask my question, and if anyone can answer, I will really appreciate it. I don’t understand what difference the puzzle number makes - whether it’s #61, #71, #82, etc. And specifically, what makes the puzzles that are multiples of 5 special — like #85, #100, #105? Or in the end, since no one is giving an answer, does that just mean this thing has no significance at all?

I understand well how the public mempool works and how transactions function. I've read through the entire thread and I understand the risk of being front-run by bots when transfering funds.
Тhis is the first time I’m seeing someone mention that “solvers of remaining puzzles which are multiples of 5 don’t necessarily need non-public mempools and should be fine to broadcast publicly.” I don’t understand what difference the puzzle number makes - whether it's #61, #71, #82, etc. And specifically, what makes special the puzzles that are multiples of 5 - like #85, #100, #105?

I don't understand. What is the difference between any puzzle and these that are multiples of 5?