Parsing the distribution

Hello, Cardmates!

Today I want to analyze an ambiguous decision while playing poker. Here's the distribution:

Not an obvious solution. Is not it? Let's see what "simple nash" tells us:

At first glance, it seems that I'm just an idiot. After all, there is no all-in here. But there is one nuance. The opponent playing in the big blind is sleeping. This means he will never call our all-in. We change its range and repeat the calculations:

Magic! Now this action becomes beneficial. If you also remove at least one hand from the small blind's range, for example K9s, then everything becomes even more beautiful:

Now my soul is calm. I made the right decision and it will bring income over the long haul.