PokéBase - Pokémon Q&A
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Just wondering.

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Best answer

For determining the highest stat, Beast Boost does not take into account stat stages, held items, or reductions due to status conditions; however, it does consider the effects of Power Split, Guard Split, Power Trick, Wonder Room, and Speed Swap. In the case of a tie between multiple stats, it increases one stat, prioritized in this order: Attack, Defense, Special Attack, Special Defense, and Speed.

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So say your Ultra Beast's Attack and Special Attack are the exact same. It knocks out a Pokemon, and its Attack is raised, not its Special Attack.

Hope I helped!

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We answered at same time!
Not even a second's difference.
Ikr, amazing
Probably it's not a snipe. Both tried snipe shot, but both had Shell Armor LOL
Thanks!
4 votes

In the case of a tie between multiple stats, it increases one stat, prioritized in this order: Attack, Defense, Special Attack, Special Defense, and Speed.

Source
So it will go as per the given order. Hope this helps!

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Thanks!