HDHP/HSA vs HDHP & Medicaid

I was enrolled in my employer’s health insurance a few months ago. I’ve read from a few sources that you can only have an HSA with a qualifying HDHP (which my insurance website says mine is), and I’m still also enrolled under medicaid from living with my parents. Would it be worth it to drop Medicaid to get an HSA? My deductible is $6000/max out-of-pocket is $7050.

I do have a $15 copay for 90-day prescription, so I doubt I will hit the deductible, with a ~$200 for health, dental, and vision. While the HSA would be tax-advantaged, my employer doesn’t offer contributions. If it would be worth it to keep medicaid, would I be able to just tell them to use that instead of my HDHP?

Personally, I’m leaning more towards the HSA, but I don’t remember very many bills, if any at all, from using medicaid including yearly checkups and prescriptions (though while my parents were pretty transparent about money and I never saw any bills, I never asked, so take it with a grain of salt).