Hunt 
Doom Gaze from the Falcon and prepare the party for the tower.
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Find Doom Gaze
Doom Gaze can ambush the Falcon while it is flying in the World of Ruin. Save before searching and keep the active party healthy; an unprepared party may be caught before it reaches a town. If the monster escapes, the encounter can be resumed later rather than treating the escape as a permanent loss.
Because its encounter location is not a visible town or dungeon marker, fly a broad path across the world and continue searching if it does not appear. One search method is to point the airship almost north, slightly offset its direction and hold course. Defeating it awards Bahamut magicite.
Strengthen the roster
Finish the recruitment routes you care about before splitting into three tower teams. Check Daryl’s Tomb, Mobliz, Mt. Zozo, the Veldt, Owzer’s Mansion, Narshe, Phoenix Cave and Zone Eater as needed. A full roster gives more choices, although the main story can end without every optional recruit.
Teach at least some healing and revival to more than one character, and spread relics and elemental coverage across groups. Check the magicite equipped before levels if you care about original-release growth bonuses. Buy recovery items and cure status ailments before the dungeon.
Protect your choices
Keep a save before entering the tower. Finish the Ancient Castle, Doma dream, Ebot’s Rock and the dragon hunt as desired; two dragons remain inside the tower itself. If playing Advance, the GBA-only bonus chapter explains the separate Dragons’ Den and Soul Shrine requirements.
The map tool’s optional local ROM display reconstructs base world data, not current story events or the location of Doom Gaze. Use it for orientation, and rely on in-game travel and encounter feedback for the hunt.