Sky Striker Special Maneuver - Lemnisgate!

Per-phrase breakdown

• Target an equal number of "Sky Striker Ace" monsters and "Sky Striker" Spells in your GY; shuffle them into the Deck, then, for every 3 shuffled cards, you can return up to 1 card on the field to the hand. (Effect)
• If a "Sky Striker" monster(s) is Special Summoned to your field, while this card is in your GY (except during the Damage Step): You can banish this card; immediately after this effect resolves, Link Summon 1 "Sky Striker Ace" Link Monster. (Trigger-like)
• You can only use each effect of "Sky Striker Special Maneuver - Lemnisgate!" once per turn. (Condition)

Judge-facing facts

• Quick-Play Spell Card.
• You can only use each effect of this card once per turn.
• The first effect targets an equal number of 'Sky Striker Ace' monsters and 'Sky Striker' Spells in your GY.
• The second effect activates in the GY, and banishing this card is the cost.
• Neither effect can be activated during the Damage Step.

Card-specific notes from database

• (Konami neuron) When resolving the first effect, shuffling the targeted cards into the Deck and returning cards to the hand do not occur simultaneously.
• (Konami neuron) If some of the targeted cards are no longer in the GY when the first effect resolves, the remaining targets are still shuffled into the Deck.
• (YGOResources) The GY effect is treated as an effect that includes Special Summoning a monster.
• (YGOResources) If this card is activated at Chain Link 2 or higher, and a 'Sky Striker' monster is Special Summoned at Chain Link 1, this card's GY effect cannot be activated after the Chain resolves. Quick-Play Spells remain on the field until the entire Chain finishes resolving, so this card was not in the GY when the monster was Special Summoned.
• (YGOResources) If 'Sky Striker Ace - Kaina' is on the field when this card's GY effect resolves, its Continuous Effect to gain 100 LP is applied first (you gain 100 LP, then perform the Link Summon). This is true even if this card's effect is activated as Chain Link 2 or higher.