if your doing HMs for the first time u have to keep hitting up vesper bay to cont with story

Obtain White-Hot Ember from Ifrit (Hard). You must complete this duty as the JOB you are getting the relic for.
Obtain Howling Gale from Garuda (Hard). You must complete this duty as the JOB you are getting the relic for.
Obtain Hyperfused Ore from Titan (Hard). You must complete this duty as the JOB you are getting the relic for.

if you have already done story thro primals u can just hit them b2b2b