New still, I already have made a mistake...burnt copper...Help!

[Orpheus123]

I got a new copper pot still for Christmas from my wife. I followed the instructions to do the initial cleaning (hot soapy water, thoroughly rinse). I then moved on to the cleaning run, 50% water, 50% vinegar. All was going well. The first run, the liquid was clear, but there was some sediment. So I decided to do a second run. All was good, liquid was clear and by about half way through, the sediment had disappeared. I decided to let the run finish...

...and lost track of time. I left it alone for about 15 minutes, and when I came back to check it, it had run dry and was just being heated. The copper on the outside is discolored, but my biggest concern is the inside. The bottom is all black, and the inside smells really burnt. I'm letting it soak now in hot water and dish soap, but I feel like that's not going to be enough. Though I'm sure most are not as absent minded as I am, perhaps you have some suggestions on how to clean scorched copper. Please let me know. I hate to think I ruined my still before I have a chance to use it...

Thanks,
Orpheus123