Help choosing between continuing my lease on my car or financing it?

I currently drive a 2012 leased honda civic

3 year lease
12,000 miles per year limit.

Here the deal. The lease will be up in September.

I could either continue to lease it and then pay off the difference in value. Or I could get a new car and finance it for 6 years

Are you happy with the Civic? If so, keep it.

If you are unhappy with it and/or just want a change, return it and go for something else.

Buy the car at lease end. Never lease again.

Your cheapest option in the long run would to just buy it out. Because it will still have many years of good service left in it.