It really depends on the exact terms of the agreement, including which state law applies. Have a local labor/employment attorney review the entire agreement. If the controlling law is Georgia, it sounds like there may be a decent chance that the non-compete is unenforceable.
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The foregoing is general information only, not specific legal advice. No attorney/client relation has been created or should be implied.
The very end of your question seems to suggest that you intend to use the same name as the name being used by your former employer. Regardless of the noncompete provisions in the agreement you signed, you need to have an attorney advise you as to whether you will be infringing the intellectual property rights of your former employer.