Use Planet Pathfinder's effect to thin your deck by getting Temple of the Mind's Eye from your deck.
Keep activating your skill whenever you can. The Ojamas can't be used for tribute summon, and it's to prevent Kaiba from summoning more monsters.
Once you have over 10,000 LP and have the necessary cards (Arrivalrivals, Ra, Stop Defense, Storm, Cosmic Compass), then you can already end the duel without having to wait until 0 cards left.
Use Storm to clear Kaiba's spells. Then Stop Defense on an Ojama token. Normal summon Cosmic Compass to special summon 2 tokens on the field. Enter battle phase and activate Arrivalrivals from your hand to tribute summon Ra. Activate Ra's effect and attack into your Ojama token.
so you need at least 1sea stealth attack, you can change warrior of atlantis or other two ssa's for any other cards like crystal seer or cat of ill omen.. and you can use any skill you like
hope it helps!