Hey Adventurer's! I know this DLC is older, but I enjoy making guides so I recently went through collecting all these on a new character and thought I'd make a quick and concise guide to getting all the parts to the Precursor Factotum Target Dummy which is tied to this achievement. I have included timestamps in the spoiler section if there is a particular piece you are looking for.
Keep in mind you do need to complete the Buried Secrets quest in order to collect the Dynamo Core in Stros M'kai, and you will need to complete several quests in order to collect the final Integral of Reason which requires entering the Machine District (You must complete To the Clockwork City, In Search of a Sponsor, The Strangeness of Seht, Deepening Shadows, and Lost in the Gloam up to Observe the Knight of Marrow’s Recitation)
I hope you find it helpful!
All Precursor Factotum Part Locations:Timestamps:*** Spoiler - click to reveal ***Associate Zanon Location (Reactor District): 1:03
Construct’s Right Leg (Alik’r Desert): 1:39
Construct’s Chestplate (Alik’r Desert): 2:09
Construct’s Left Arm (Alik’r Desert): 2:34
Construct’s Pelvis (Deshaan): 3:02
Construct’s Nullification Staff (Deshaan): 3:34
Construct’s Right Hand (Deshaan): 4:03
Construct’s Right Arm (Bangkorai): 4:35
Construct’s Left Leg (The Rift): 5:09
Construct’s Spine (Eastmarch): 5:38
Construct’s Left Hand (Stonefalls): 6:10
Construct’s Dynamo Core (Stros M’kai): 6:44
Integral of Introspection (Clockwork City): 7:16
Integral of Calculus (Clockwork City): 8:00
Integral of Reason (Clockwork City): 8:45
-Damron Out