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I only use Pokéballs.
Yes, against the box legendary.
Yes, I succeed.
Yes, even in the Gameboy games.
Yes, I buy Pokéballs in groups of 10s in order to have Premier Balls for super special Pokémon
the one type of ball challenge started when I was a kid (I'm 23 now) but I also used to run away as a kid if the Pokéball didn't capture upon two shakes as that felt like forcing the Pokémon rather than it feeling I am worthy as a partner. This rule didn't apply to the legendary or shinies but for some reason, Articuno always chose me no matter the game or region