Two options: 1. similar to any episode of a '70s comedy such as The Partridge Family, when a pet dies, you buy another and disguise it as the original...in this case, slip the Davidoff band off and onto another stick of similar dimensions.
Option 2, which is much more preferable for your tight timeframe, is to explain to your friend that rather than force a revival of a fine cigar and light it prematurely, you will instead be enjoying a different stick while the Davidoff is recuperating slowly.
I'm sure your friend would prefer to see you do #2 and have a chance at enjoying the cigar more at some point in the future!