You start on the back of the moving snake. You need to watch out for wooden barriers in your way, so make sure you destroy them. Also, enemies will spawn, so you'll need to do battle with them for now. Pay attention, as when you see a green grapple point on your left, that's your cue to jump and grab it.
Hold R1 until you see the next grapple point, then jump and swing to a third one and then onto the snake again. Here you'll be fighting some bugs, but you will need to pay attention for the green grapple point on your left again. When you hit it, start running as the ground below you will start to fall apart. At the end, grapple to get onto the snake again.
For this part, you will be fighting some hounds, so just grapple them to easily get rid of them. As with the last two parts, when you see the green point on your left, grapple it to get to a wooden climbing section. You need to hurry here, as the wooden planks will start to fall apart, so get to the top left corner and jump back onto the snake.
In this section, you'll be fighting some Satyrs with clubs, so just concentrate on not taking too much damage. Eventually, you'll pass a green spot on your right, so grapple to it, then hit the second spot, holding R1 until you can jump and grapple the third spot, landing on the ice. Slide down and then jump at the end to land on the snake, which will finally hit the tower.
When you can finally move, grapple to the tower and climb to the ladder. Once you get inside, descend until you spot the glowing white spot, so pick it up to acquire the Oracle Seeker's Offering Artifact. Climb the tower like before all the way to the top, where you'll have to face off against a new enemy, the Manticore.
At first, it will remain in the air and breathe fire on you, eventually charging and leaving a fire trail. It's at this point that it should land on the ground. It has two attacks on the ground, which are to either flap its wings at you or strike you with its tail. If it hits you with the latter, you have to do a QTE to recover, otherwise you'll get hit again with its tail.
Once you see the white bar appear, grapple it and attack it while dodging to rip one of its wings off. It has three main attacks in this phase, which are either charging slightly and using its wing to attack, a fire breath attack, or do a sweep with its tail. It can also summon the flying creatures you've been encountering from the eggs; grapple these until you kill them. The best course of action against this phase is to draw an attack from the Manticore, hit it with a combo and then do it again. When you see the red halo, grapple and attack/dodge until you kill it.
With the fight finally over, go to the north and grapple pull the chain there to open up the way to The Temple of Delphi.
