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If it is primarily about a person carrying multiple equipment (and they are displayed on the person instead of being stored in a Hammerspace), this is Walking Armory. Also, depending on whether they are of offensive or defensive roles, they can also be either a Mighty Glacier or a Stone Wall.
Seconding Tank for most cases, but in broader games, this may fall more under the An Adventurer Is You set of party roles than Damager, Healer, Tank- say, they double as a Utility Party Member and/or a Human Pack Mule in addition to being a walking pile of armor.
The artificer in D&D (at least 3.5 anyway) is a good example; they're mediocre in direct combat and glacially slow when casting their spells, but they make up for this with a Bag of Holding or three full of magical items they can build cheaper and faster and use better than anyone else, and the ability to use a broad range of armors and weapons without penalty, unlike most casters. The fact that they can enchant all this gear with additional bonuses as the situation calls for it is icing on the cake.

I notice a lot of games, both Tabletop and Electronic, there's always one guy who stands out for the large range of equipment options at their disposal, most notably towards equipment too heavy for everyone else. Does this has a trope linked to it? (Whatever it is, it would probably be the opposite of Bare-Fisted Monk)