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The 25% chance to do 9 of an element per cast does not stack. Was hoping 4 of them would to give a guarantee to do 9 per cast.
Haven't tested anything else but I'd imagine the Luxury Bonus stacks too.
(Students who have completed all of their trials go straight to max level upon apprenticeship with just a single max level diligence relic, as a point of example.)
You need just 4 archive rooms total in order to slot all possible artifact effects.
Also worth noting that if you do slot more than one of the same type on plinths it doesn't even do what you'd expect and apply "the highest level effect", instead it applies whichever was the most recent one put on a plinth. Though i didn't test whether that remains true if you save/reload the game. It is possible it corrects itself on a reload.
What it even means? What "+9" it gives during the work spell? It upgrades the skill more? So if the staff is already maxed at this element of spell mastery it will not benifit from that?
The amount of elemental magic per cast is normally equal to the skill level of the mage doing the casting. That relic gives each cast a 25% chance of doing an additional +9. Thus resulting in tasks being completed faster.
For example, when cooking honeyed-stir fry, it requires a total of 48 fire magic to complete a single cooking task. A cook with a skill level of 2 would thus require 24 casts to complete cooking of it.
With that relic, however, that same cook would average 2+.25*9, or 4.25 fire magic per cast on average, and thus would complete the honeyed stir-fry recipe in only 11.3 casts on average, completing the job twice as fast.