Soulsoother Head

Obtained via a Horizon specific quest.

After reaching level 30, speak to Raimbert in Stoneserpent Square of Aht Urhgan Whitegate (G-11).

He starts a quest called "A Heart Remembered".

Here's the steps required to complete the quest:

1 - Talk to Raimbert G-11 in Aht Urhgan Whitegate

2 - Click the ??? F-13 in Wajoam Woodlands for a cutscene, under the brick archway

(Note: To get here you need to zone from Mamook Map 1 L-10, grab the Mamool Ja Training Grounds Stagging Point while in the area to make the steps 10 and 12 below easier)

3 - Talk to Raimbert G-11 in Aht Urhgan Whitegate again for more dialogue

4 - Wait for the next Vanadiel Day

5 - Talk to Raimbert G-11 in Aht Urhgan Whitegate again for more dialogue

(Note: Unsure if you need to zone and return to talk to Lambert after waiting for the clock to roll over)

6 - Click the ??? I-6 in Al Zhabi for a cutscene, west part of lower floor area in Flameserpent Square

7 - Talk to Raimbert G-11 in Aht Urhgan Whitegate again for more dialogue

8 - Wait for the next Vanadiel Day

9 - Talk to Raimbert G-11 in Aht Urhgan Whitegate again for more dialogue

10 - Click the ??? H-11 in Mamool Ja Training Grounds Staging Point for a cutscene, next to the runic portal

11 - Talk to Raimbert G-11 in Aht Urhgan Whitegate again for more dialogue

12 - Click the ??? F-13 in Wajoam Woodlands for a cutscene, under the brick archway

13 - Talk to Raimbert G-11 in Aht Urhgan Whitegate again for more dialogue

14 - Click the ??? K-9 in Wajaom Woodlands for a cutscene

Congratulations on getting your White Puppet Turban!

Now you need talk to the guy in the puppet shop and complete his turn ins and waiting for Japanese midnight cycles to get the actual WHM Head you are looking for!

Hope this helps despite not being properly formated! Gathered from the Puppetmaster Job Discussion channel of the Horizon Discord server - credit to all the folks who PAFOd their way through this one for everyone else! :D