High Score
If one or more +1/+1 counters would be put on a creature you control, that many plus one +1/+1 counters are put on it instead. At the beginning of your end step, draw a card if you control a creature with the greatest power among creatures on the battlefield.
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Official rulings (3) · Scryfall
In the case where you control more than one High Score, each one you control will increase the number of +1/+1 counters placed on a creature you control by one. (Leave some room on the leaderboard for the rest of us!)
If two or more effects attempt to modify how many counters would be put on a creature you control, you choose the order to apply those effects, no matter who controls the sources of those effects.
If a creature you control would enter the battlefield with a number of +1/+1 counters on it, it enters with that many plus one instead.