I was at a "cheese market" day recently and the guest speaker was saying that the only real difference between and cam and brie is the size of the wheel.
A triple brie has added cream, which makes for a much softer creamier cheese. My recipe addes a cup of cream to every litre of milk, which is a fairly high cream content and makes for a very soft cheese. I usually add about 2 liters of cream to 14 liters of milk. I don't take the cheese out of the moulds until I am ready to put in the fridge, which means I brine and dry in their moulds, as I find they are too soft to handle, and bulge completely out of shape. If I leave taking off the mould until getting them in the fridge, then I only get minimal bulging, and they hold their shape much better.
This is what works for me anyway. HTH's