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It sounds like you may still be able to apply because your shoplifting conviction may qualify as a non-significant misdemeanor. It is best that you consult the specifics of your case with a qualified immigration attorney as you may only have one shot only to win the case.
This answer does not create an attorney-client relationship and should not be relied as legal advice on your case. You may call my office at (832) 305-5382 to schedule a consultation if you require specific legal advice. Law Offices of Hector J. Lopez. 1201 South Shepherd Dr. Houston, TX 77019. www.hjlopezlaw.com
I agree with my colleagues. It appears that you may be a good candidate for DACA. I suggest that you obtain the certified disposition from the court to take with you when you consult an immigration attorney.