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Each card has four attributes: shape, count, color, and fill. Three cards form a valid trio when, for every attribute, the values are either all the same or all different across the three cards. Tap three cards to select them. If they form a trio, you score points. If not, the cards flash red.
A walkthrough with examples lives in Settings > How to Play.
Sometimes the visible 12 cards happen to contain no valid trio. When that happens, an overlay appears prompting you to Deal 3. Tap it to add three more cards. The board can grow to 21 cards. At that size, a trio is mathematically guaranteed.
Daily streaks require completing a puzzle every calendar day. If you skip a day, the streak resets the next time you play. Your best-ever streak is preserved separately on the Stats tab.
Not currently. Stats are stored locally on each device. Reinstalling the app or moving to a new device will start your history fresh.