Question

جا خالی دادم تا مشت به من نخوره

Comments

I just came across the word "sidestep". Does that seem ok?

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It could be right, yet certainly that movement for dodging must involve "stepping." Look at the definition of "sidestep:"
to step quickly sideways to avoid being hit or walking into s/one.

Answer 1

I dodged the punch so that I was not hit by it.

Answer 2

Dodged to escape from punch

Answer 3

I ducked to avoid the punch.