Here's how to complete the Apocalypse Lost world quest. Before you can enable this quest, you will need to collect the following Chess pieces:
Border Fort
Soulferry
Khaj-Nisut
King Deshret's Pillar
Temple of Gurabad
The first three pieces can be obtained via the Due-Entombed Fecundity Quest series. This series is part of "The Dirge of Bilqis" world quest.
The 4th piece can be obtained in Liloupar's Cell. The last piece can be obtained once you finished "The Falcon's Hunt" world quest in "Tadhla the Falcon" quest series.