How Deep?

People ask how many moves ahead can I look. I say one. Mostly it's true. I'm looking at positional elements unless I see some tactical element to trigger a deeper dive. In this position I was losing badly until my opponent made the mistake Kg2. Right away I saw Nh4 and Ne8 as double checks. White would only have one reply. The King must move. Can you solve the mate in 5? I did but didn't realize both Knight moves work.

Here is the whole game. The position occurs at move 42.