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This is a work in progress. Please take with a pinch of salt atm…
I, Bennish, recommend the following way to get 150 Agony Resistance….
- 8 x +9 AR infusions
- 8 x +8 AR infusions
- 2 x +7 AR infusions (for each weapon set)
This assumes that you will eventually have the full 18 infusion slots though so you might want to use just +9s all over if you don't think you will do this or just want to get AR as quickly as possible.
Getting ascended gear
I recommend focussing on getting ascended trinkets (especially an amulet and 2 rings) and weapons first. They are the easiest to get and provide a large benefit. Although the amulet doesn't have an infusion slot (it has an enrichment slot which is different), it provides a lot of attribute points so the difference between an exotic amulet and an ascended one is quite big.
Each ring will provide you with one infusion slot to start with. If you have the Heart of Thorns expansion, learn the Agony Channeler mastery as you can then “attune” each ring (it's cheap) for an extra infusion slot. You can also "infuse" the rings for another extra infusion slot but it's much more expensive so you might want to do that later.
NOTE: all the infusions on an ascended item can be extracted for a small cost of 24 silver using a |Infusion Extraction Device but this requires completing the "Follows Advice" mastery to purchase.
Put one +9 AR infusion in each ring and +8 AR infusions in the remaining infusion slots.
Put +7 AR infusions on every ascended weapon (1 for one-handed weapons, 2 for two-handed weapons).
Lastly, infuse your back item to give it an extra infusion slot.