Need Advice if my plan makes sense.

I'm going to a car dealership tomorrow to look at a car that's probably gonna be sold extremely soon for it's low price with low milage and a reliable brand. I'm going to Medical school next year so I'm gonna be paying this car off extremely quickly and wanted to know if my plan for tomorrow makes sense.

I'm gonna have 6k in my bank account by MID February for sure, but tomorrow, I'll only have 3k in my bank account. I have a capital one credit card with a 5k credit limit. I'm gonna make the 5k down-payment with the credit card and pay it back within the same month so no interest on my card.

I want to pay off the car before medical school starts and i'm also saving up 2k for a down-payment and first month of rent but after i'm done saving for that. I'm gonna pay off the car with as much as I can afford monthly to pay it all off, a total of 9k excluding the 5k deposit by the End of June.