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It looks like no. Artisan Tools are specifically for crafting items from raw materials and only give their bonus to that crafting check.
Try Crafter's Eyepiece instead.
Pathfinder Lost Omens, Rulebook, Starfinder Roleplaying Game Subscriber
Looking through the options on Archives of Nethys, it doesn't look like there are too many options for +3 - best bet there seems to be a mutagen (unfortunately one that hurts the Inventor Striking plan).