Projector Puzzle solution
To escape Jack, use the light projector on the plinth in Main House 1F, Main Hall. Before you can do that, get the Wooden Statuette from the drained bathtub in Main House 2F, Bathroom. Place it on the pedestal in Main House 1F, Main Hall. Adjust the statue so an eagle shadow silhouette appears on the painting. Confirm when you are close to complete the puzzle. When Jack appears, just run and slam every door behind you to lose him and give you plenty of time to solve the puzzle.