After the battle has begun, perform one of three setups listed below to put Link in a position where it is possible to clawshot the medallion behind the gates. The shot is precise, and the time limit is determined by how long the Aeralfos idles before attacking, which is RNG. The setups are:
Alternatively, it is possible to find the correct position for the skip without a setup, but there are some positions from which Link will be crushed by the gate and voided out upon reaching the medallion.
To escape the chest enclosure, either savewarp or take damage from the Aeralfos through the gates to deathwarp.
After performing one of the position setups listed above, zoom in fully on the Hawkeye, aim with the visual cue shown in the video below, and shoot the clawshot. It is easier to adjust the camera small amounts while zoomed in with the Hawkeye. This method is slower than Aeralfos skip without Hawkeye.
Hit the Aeralfos with the Boomerang to make it pull out its shield, then use the Clawshot to pull it down to the ground. Take out the Ball & Chain and twirl it to hit the Aeralfos 5 times. The Aeralfos should block the 5th hit. Immediately use the B&C again until the Aeralfos hits Link; these hits will be visibly blocked by the shield but will still damage the Aeralfos. After standing up, take a step towards Aeralfos, hit it with the B&C once, and then throw the Ball & Chain so it finishes the Aeralfos off on returning.
Hit the Aeralfos with either an arrow or the Boomerang to make it pull out its shield, then use the Clawshot to pull it down to the ground. Take out the Ball & Chain, twirl it to hit the Aeralfos 4 times, and release it on the 5th swing. The Aeralfos should block the last attack and counter it, but the Ball & Chain will hit the Aeralfos on its return and end the first phase. For the second phase, grab the Aeralfos with the Clawshot and swing the Ball & Chain like before to defeat it.
Other Aeralfos fights in the game (such as in Hyrule Castle), only include the first phase of the fight.