Played one fog to the end: found 27 in 20 guesses, no Solve. The fog feels thin once it clicks that warmer and colder compare to your last guess, not to the target. After that it is a bisection and you can reason every step.
What tripped me: the first guess gives nothing ("50 - not it"), so the first real clue is guess two. I also repeated 52 and 3 a couple of times without noticing; a quiet "you tried 52" would save a wasted guess.
Solve at 3 feels close to fair: careful play needs about 7 or 8, so it only pays when you are lost, which is the point. The line under it ("using it just tells on you") is the best bit.
The end is very quiet. A par line like "20 guesses, a careful player needs about 8" would make me press New fog again.
The Vibeoverflow team