Operate the crank until you can't rotate it anymore then hold L2 and press triangle to leave a copy of yourself on the crank. Jump on the lowered platform then press L2 and Triangle again to deactivate the copy and let the lift to move up. Head to the right first to find a treasure (Stonemason's Chisel) and jump on the nearby ledge to find two red chests and a white chest.
Forearm of Apollo Treasure
Next, proceed and step on the circular pressure plate. Leave a copy of yourself again then swing to the next platform. Defeat all enemies, with the help of your new ability then continue to the left. Scale the wall there and make your way to the ledge to the right.
Open the magic/health chest then pull the platform ahead until you can't do so anymore. Leave your copy there but before jumping on that plaform, jump back down to the lower floor. The gate to the left will be open and you can freely loot the red and white chests, as well as destroy the objects inside for some extra orbs.
Make your way back to that platform again and repeat the process. Jump on the next platform then deactivate the copy and jump to the next ledge. Move to the left to shift the weight there then leave your copy. Go to the right this time and grab hold of the handholds. Make your way up then jump on the next wall where you'll have the prompt to smash the lower wall open.
Swing across the sea again and defeat an amazoness, cerberus and wolves. After taking them out, pull the chains on the right and leave your copy to secure it in place. Next, use the amulet to restore the chain enough for the lower part to get connected. Suspend it and use it as a foothold to reach the ledge above. The red and white chests to the right are now restored so you can loot them again. Head inside to the left this time.
You have to operate the lift again using the pressure plates but this time, you have to make it all the way to the top. Enemies will appear in the lift as well so you have to be careful not to get scorched and avoiding the enemy attacks altogether. If your copy vanishes you have to leave it again on the pressure plate to prevent the platform from descending again. Once you've reached the top, the pressure plates will be deactivated so you can use your copy again for offensive attacks. Finish off the enemies to open the path.