I'm world building a low-magic, early (to high) medieval (early 12th century-ish) fantasy world for a ttrpg. This world revolves around humans, but -while not something commonly encountered by humans- both elves and dwarves exist. The dwarves, had they be human and would they have lived in the real-world, would have been deemed (mostly) late medieval, with elves leaning into the (early) renaissance. But since this is a fantasy settings, comparing things to the real-world, for anything more than specific slices, such as for this question, quickly goes awry.
Magic
Some humans have magic spells, but magic is not commonly available. Those who have magic have dedicated large parts of their lives to learning it. Therefore, magic among humans is rare, awe inspiring, and -for common folk- not uncommonly feared or at least distrusted. Some rulers may be the patron for a 'wizard', but there are certainly no (human) warrior mages or anything like that.
While certainly not everyday common, both the elves and dwarves have a much higher affinity for, and skill in magic. For the elves, magic is a part of their natural world, and magic is used in many parts of their art, culture, and creations (including weapons and armor). Dwarves on the other hand tend to use magic to improve ('imbue'?) their architecture/building, tools, weapons, armor; magic is part of the art of making high-quality things. Magic is still not easy for either elves or dwarves; it requires effort and focus, but both the elves and the dwarves use it (in their own way) for things that are worth to effort.
Armor
In this world, the best armor available to human fighting and ruling class should be a helmet, with maille or scale hauberk over gambeson and maille chausses; humans blacksmiths have no method to make plate armor.
However, both the elves and the dwarves have (and can make) plate armour pieces (couters, spaulder, vambraces greaves), with the breastplates exclusively available to the dwarven folk.
My Question
This leaves me with a hole in the worldbuilding: within the world as described, what is a logical, internally-consistent reason for why humans would not have access to plate armor?
As this is a world for a ttrpg, when plate armor is exists, players will eventually (at the very least try to) acquire it. While this might be eventually OK for spaulder, greaves, etc., breastplates should be off-limits as player gear. Since players tend to accumulate wealth, 'expensive' on its own will not be sufficient as a method to limit availability to players.