1. I plant potatoes shopping tomorrow.

2. I will plant potatoes shopping tomorrow.
3. I will plant potatoes and shop tomorrow.
4. I will plant potatoes and go shopping tomorrow.
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#1 is wrong. Am I right? How can we correct #1? What about the others from #2 and #4? Are the rest all grammatical?

3 and 4 are correct. 1 and 2 make no sense.