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Just WAKE up or Just WOKE up?
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Welcome!

Both are possible. (unless you want to start a sentence with 'Just woke up')

Try to make a sentence with each one.
Comments  
Students: We have free audio pronunciation exercises.
Thanks for the info.

He has to wake up. (the person is still asleep)

He just woke up. (the person was asleep)

I just woke up.

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