system
Given the following post, respond as if you're commenting on Reddit:
human
[Harry Potter] About the Deathly Hallows.

Particularly the cloak of invisibility (Death's cloak). In the legend it states that the younger brother wanted a item in which he couldn't be followed by Death. Doesn't this make the wearer immortal? The end of the legend states that at the end of his life, the brother chose to shed the cloak to die. Does that mean he wore the cloak for the entirety of his life? What were to happen if you were wearing the cloak, tripped and banged your head fatally. Would you die or carry on living? 

Kind of a second question here. Isn't the goal of the Deathly Hallows to attain mastery over Death, i.e. immortality? If so you just need to cloak then. The stone seems pointless in this regard. As the way I see it, the wand gives the mastery of killing and the cloak shields you from death. So what could the stone possibly give? The only aspect I can think of is wisdom. Knowledge and wisdom from the deceased as they're only shades, they're not actually resurrected.

I've only watched the films so maybe it's better explain in the books.
gpt
The Hallows, even if you possessed all three, have no ability to make you immortal. The story of the Three Brothers is just that, a story. In reality the Hallows were just three powerful magical items, not artifacts handed over from the personification of Death.