The eyepatch puzzle is one of the first you encounter in Return to Monkey Island, as you try to secure a magical eyepiece that'll let you disguise yourself so you can get onto LeChuck's ship and set sail. While the game does give you a hint book that you can grab at the International House of Mojo, it only lays things out one step at a time, so doesn't give you a complete puzzle overview...
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How to get the eyepatch in Return to Monkey Island
Source: PC Gamer (opens in a new tab)