I'm not aware of a Magic: The Gathering keyword or ability called "Blood Chalice." This doesn't correspond to any official MTG mechanic that I can verify.
You may be thinking of a few different things: there are cards with "Blood" in the name (like the Blood tokens mechanic from Innistrad: Midnight Hunt, where artifact tokens let you discard and draw a card by sacrificing them and paying mana), or Chalice of the Void (a powerful artifact that counters spells with a specific mana value based on its charge counters). There's also the older Blood keyword counter in some contexts.
If you can clarify which specific card or mechanic you mean—or check the exact wording on the card—I'd be happy to give you an accurate rundown of how it works and its Commander relevance. I don't want to invent rules that could mislead your gameplay.