Your strongest pokemon and one the that has something to put it to sleep that's how I caught the three legendary birds and mewtwo is next. So long as you remember not to use you're masterball, it should be fine. save right before you attack though, or you may accidentally kill it.
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you can find zapdos in the power plant.
You get him where zapdos is (power plant)
At the power plant.
the power plant south of cerulean city
After you get the EXPN card he is right next to the Power Plant.