Plated Synthium Shirt is a standard-quality equipment item encountered during the tutorial mission The Awakening. Once equipped, it unlocks the Fourth World chest costume style.
Source[]
The Plated Synthium Shirt can be found within the first treasure chest encountered within the Brainiac Harvester Ship mission map, encountered during the tutorial mission The Awakening.
Treasure chest[]
Style unlock[]
Upon equipping Plated Synthium Shirt, a character unlocks the Fourth World chest costume style, which can be accessed at any time from the Style Window.