"site visit from a tank repair company " Yep.
And it is always repairable, but the price might be too much. The only areas that demand removal are the creases. Popping out dents is just really big automotive body & fender work. Nobody likes to talk about it, but this is a fairly common tank failure. Any experienced tank installation & repair company can fix it. Just watch the costs, especially if you need/want different nozzles or nozz location, or a different size. A big repair makes a new tank look more attractive.