Knightmare Unicorn

Per-phrase breakdown

• 2+ monsters with different names (Trigger)
• If this card is Link Summoned: You can discard 1 card, then target 1 card on the field; shuffle it into the Deck, then, (Condition)
• if this card was co-linked when this effect was activated, you can draw 1 card. You can only use this effect of "Knightmare Unicorn" once per turn. While any co-linked "Knightmare" monsters are on the field, for your normal draw in your Draw Phase, draw 1 card for each different card name among those co-linked "Knightmare" monsters, instead of drawing just 1 card. (Continuous)

Judge-facing facts

• "Knightmare Unicorn" is a Link-3 monster that requires 2 or more monsters with different names as Link Material.
• The effect to shuffle a card into the Deck is a Trigger Effect that activates in the Monster Zone when Link Summoned.
• You must discard 1 card as cost and target 1 card on the field to activate the Trigger Effect.
• Returning the targeted card to the Deck and drawing 1 card do not happen simultaneously.
• The effect modifying the normal draw is a Continuous Effect that applies in the Monster Zone.

Card-specific notes from database

• If this card is co-linked when its Trigger Effect is activated, the effect includes drawing a card, so effects like "Ash Blossom & Joyous Spring" can be chained. If it is not co-linked when activated, "Ash Blossom & Joyous Spring" cannot be chained. (YGOResources)
• A Token can be targeted by the Trigger Effect. The Token disappears instead of returning to the Deck, so the "draw 1 card" resolution cannot be applied even if this card was co-linked. (YGOResources)
• If the Trigger Effect targets a card that places itself on the bottom of the Deck when it leaves the field (e.g., "Destrudo the Lost Dragon's Frisson"), it returns to the bottom of the Deck without shuffling. Because returning it to the Deck was successful, the "draw 1 card" resolution can still be applied. (YGOResources)