Lightcast Island is in the Tabantha Sky Archipelago and is the location of Ga-ahisas Shrine.

Location of Lightcast Island
Lightcast Island is in the Tabantha Sky Archipelago at -3593, 0943, 1731. To reach it, you can use the launcher near Ganos Shrine.
How to Solve the Lightcast Island Puzzle
First, find the stone ring that has a glowing terminal in it. Interact with it to lower the water level on the island. Then find the beam of light that is going into the cave, and follow it. At the end, you find two Mirrors. Before you use the mirrors, there is a hidden chest to the east of this area. It contains 3 Mirrors. You can use Brightbloom Seeds to help you find it if needed.
Back where the beam of light is shining, use Ultrahand to pick up a mirror and aim it southwest, making sure that the light from outside is still shining on it. Point it in different directions until you light up another mirror. Go to that mirror and aim it in different directions until it lights up another mirror. While you do this, you can look for a hidden chest in this area that contains a Star Fragment. You can use Brightbloom Seeds to help you find it.
Keep shining light from mirror to mirror and you reach a room with a Construct. Defeat it and take its Mirror Shield, and use the shield to reflect the beam of light onto the gem-shaped object on the wall. This lowers the walls, opening up the area. Open the chest just above the gem-shaped object (use Ascend to reach it) to get the Zonaite Helm. Then go down the stairs to the left of where you lit up the gem, and go through the archway at the bottom to find Ga-ahisas Shrine.