wow you recognized it immediately, so it is called Lysurus periphragmoides, it is the first time I see this mushroom, the truth is not very usual, and it is interesting what the text says in South America is usually born throughout the year, in summer, I am in a semi-arid climate so it is ideal for its growth.
Besides that now that it has been born here, it is possible that it reproduces and in a few months to see it more often.