Ok but what Pokémon or item are you wanting either as your reward from the promo or to trade for that Squirtle? As for the move and it hatching with it. There are moves that a Pokémon knows that automatically pass when hatching, some only upon certain factors but that doesn't make them quote on quote egg moves. lol I go by what serebii.net's pokedex has listed as egg moves and I don't recall seeing water pulse listed as an egg move but it can be learned by lv up. (Still moves like that might get passed down when breeding as I said before, they just aren't egg moves lol)
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