Time: 9:15PM EST
Frequency: Everytime
World name: Sargatanis
Character name: Tavant Liengod
NPC name: N/A
Monster name: Ifrit/Garuda (Hard)
Class/Level: SMN 50
Party or solo: Full Party
In-game time: 9:15PM
Area and coordinates: Bowl of Embers (Hard)
Steps:

I just completed Bowl of Embers (Hard) for my relic quest. The quest progressed to the next step to kill Garuda (Hard). However, it did not unlock it in the duty finder so I can que up for it.