If you ever play yugioh eather with real cards or video game. How you won your duels.
I win my duels with LP gain, exodia and deck destruction draw/destroy at same time.
If some how I can't get 5 pieces of exodia then my last resort is to drain your deck to 0. I don't like the effort of lowering LP and falling into traps.
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In the games i'd always just go all out attack on an opponent's LP with my monsters, but would keep a healthy supply of traps, high defense monsters, and attack delaying spells in case I needed to throw up a wall for a while.