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First hit on Google. Looks like a Class B Misd.

ETA:
GC §411.172. ELIGIBILITY. (a) A person is eligible for a license to carry a concealed handgun if the person:
(8) has not, in the five years preceding the date of application, been convicted of a Class A or Class B misdemeanor or equivalent offense or of an offense under Section 42.01, Penal Code, or equivalent offense;