Broodmate Tyrant

Exiling the card with encore is a cost to activate the encore ability. Once you announce that you're activating it, no player may take actions until you've finished. They can't try to remove the card from your graveyard to stop you from paying the cost.

Encore is an activated ability that functions from the graveyard. "Encore [cost]" means "[Cost], Exile this card from your graveyard: For each opponent, create a token that's a copy of this card that attacks that opponent this turn if able. The tokens gain haste. Sacrifice them at the beginning of the next end step. Activate only as a sorcery."

If one of the tokens somehow is under another player's control as the delayed triggered ability resolves, you can't sacrifice that token. It remains on the battlefield indefinitely, even if you regain control of it later.