Suppose a robot is trying to get out of a maze. At the start of the maze, there are 2 choices of where to go. Along one path, the robot will take 1-6 minutes (uniform, like a fair die roll) and then return to the start. Along the other path, the robot will take 3 minutes and escape the maze. Every time the robot returns to the start, the robot chooses which path to take at random without remembering what happened before. Find the expected time until the robot escapes.