Use Shard of Greed and Different Dimension Capsule to draw and search your combo. Magical Mallet can be used to return cards to the deck and draw as many cards you returned.
Summon 2 Il Blud. One of them must have their effect active.
You can send Il Blud from your deck to the graveyard when you summon Samurai Skull.
Activate Zombie World to turn all monsters in the graveyard into Zombies. This is because we want Gusto Falco as a Zombie.
Synchro summon Black-Winged Dragon using Il Blud and Gusto Falco/Blackwing - Blizzard the Far North as materials.
Use Mystic Box to give Guardian Statue to your opponent. Every turn your opponent would return Black-Winged Dragon to the extra deck using Guardian Statue. We do this so that you can Synchro summon Black-Winged Dragon multiple times.
During your turn, use Il Blud to revive another Il Blud. Then normal summon your newly revived Il Blud and activate it's effect to special summon Gusto Falco. You now have the necessary materials to Synchro summon into Black-Winged Dragon again. Repeat every turn.
Give Localized Tornado to your opponent with Graceful Tear to extend the Duel.
Activate Mask of Remnants when you have 0 cards in your deck so you do not deck out.