The Aurelionite spawns once four Halycon[sic] beacons in the Gilded Coast are paid for, but it cannot be harmed until all 7 beacons are activated. After some time, the beacons deactivate, and require the players to pay for all 7 once again to damage the Aurelionite. Killing the Aurelionite before they deactivate will complete the Blackout Challenge unlocking the Eccentric Vase
The Aurelionite has similar attacks when compared to regular Stone Titans, with some differences. Instead of just a fist jutting out of the ground, the ground-punch creates a series of spikes in a line. These can knock the player high into the air.
The Aurelionites laser attack is shotgun-like, and locks on just like the Stone Titan's. However, the attack deals more damage the closer the target is, so when this attack is coming, it is critical to get away, or behind a wall or a shield.
The Aurelionite may use both of these attacks at once, knocking the player into the air, where they are sitting ducks and likely to be obliterated by the beam.
Besides killing this boss regularly in the Gilded Coast, this monster log can also be obtained by having the summoned allied Aurelionite (from the Halcyon Seed item) die. Because he has a huge health pool and because you cannot damage allied units (with a few exceptions, but the lunar items that can deal damage to allies don't deal enough damage to get through Aurelionite's health pool), the only way to reliably kill him is to have him die to a Void Reaver's implosion. This is a more consistent way to get the log because of the low spawn rate of the Shrine of Gold.