I think I see the way out here

Hello everyone!

I don't understand the exact meaning of the above phrase. Does it mean "I think I know how to get out of here" or it means "I see the way out and it's right here".
This phrase is from the fiction story where Stan is walking in a maze trying to find an exit. He talks over the phone to another guy who gives him instructions:

“Okay,” said Stan, “uh, I’m in the room with the axe again.” ...
“Okay, I think I see the way out here,” said Stan. “This is the room with the two pieces of bread—have I gone east from here?”
“Hold on a sec,” muttered Vampire.
“I don’t think I have,” said Stan.
“Hey, I’m out!” Stan said. “It’s opening up into a large cavern. ...