In Assassin's Creed III (2012), Achilles has a sharp point at the front-end of his hat, just like the pointed hoods that the Assassins wear : r/GamingDetails
Assassin's Creed Unisex Cap - FF Stores Assassin's Creed Unisex Cap
Assassin's Creed Origins Kids Snapback Cap Blue - Official Merch - Popmerch.com