Can you get Medicaid in NY if you have other Insurance?

I recently lost my job, so my income is now within the range to qualify for Medicaid. However, I have other insurance (not COBRA, a policy thru Healthy NY), but that doesn't cover dental, vision, mental health, etc. Dental benefits would really help. Can I have both if I otherwise qualify for Medicaid? I am in NY.
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Yes, you can have Medicaid and another type of health insurance, if you qualify. Keep in mind, typically Medicaid doesn't cover regular dental stuff, for adults.
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