If they sue you, what are they planning to recover? Since you have done no business, they have not been damaged. Although damages are not an element in a lawsuit on a contract, it seems kind of silly on their part. They might be awarded $1 as a token. I suspect they are jerking you around and have no intention of paying a lawyer to go to court on it. But in the words of Dennis Miller, “I could be wrong.” Don't worry about it until you see the summons.
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This is all going to depend on the specific language of your non-compete. You will need to have legal counsel review it's exact terms.
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