If the file is completely gone, temporarily disable your antivirus, uninstall the game, and then reinstall it. Once reinstalled, add the Crysis 3 folder as an exception before re-enabling your security software.
Once downloaded, copy the aeyrc.dll file and paste it into the game's main installation directory, specifically the Bin32 folder. download aeyrcdll file for crysis 3 link
Instead, I suggest trying the above solutions. If you're still having trouble, consider seeking help from the gaming community or official support channels. If the file is completely gone, temporarily disable