Exactly, it's the future and there will always be 'future tech' so there will always be some way to solve a problem. That was very prominent starting with TOS and everything going forward. So that part I really don't have much issue with, same as you.
But yes, that whole thing with the mycilial network world and how to get Tilly back and how long it would take this super fungus to eat thru the ship's hull ("luckily tritanium isn't their most favorite food" Stamets or Burnham said, or something to that effect) was just asinine. Completely asinine. At least on TOS when dealing with 'unsolvable' problems, all of them, Spock, Scotty, McCoy, anyone involved would admit that they just don't know. These yahoos on Discovery apparently know everything however.
And then when they did find Jussie and they were running out of time and it was imperative that they got back so the ship could get out of the half and half condition, they were all just standing around and discussing things like there wasn't any urgency at all.