This is not a complaint but one how I think events where you can't interact should have another event after. You did a good job doing it for the TMN ship. I feel like there should be a compensation event if the Furry Game is impossible with your current cargo values or always generate it with a prize that you can reach(though that feels a little OP so maybe option 1), also I feel like the Spice Trader is useless if you can't trade with him. I have forfeited way too many runs because I saw him at the start with no spice
For the math game, it's difficult. Don't think an algorithm for solving whether something is possible or not is too simple. And for spice trader I disagree. He is the biggest reason to actually keep spice on you at all times. And at least one is offered after every battle. So it's kinda on you if you don't have any.