For many years, the only approved way ( by The International Muzzleloading Committee Rules for use in that competition) to repair a loose/worn/sloppy barrel fit in Original Stocks (to keep them legal in the Original Categories) was to use thin wood veneer that would be steam bent to shape and glued in with Hide Glue. Then re-inlet the barrel.
I was informed this was a HC/PC way to do it, but I never got their Rules Committee documentation for it. I never did it myself, but I did see two different original Flintlock pistols where it had been used (in modern times) to tighten up the barrel fit.
Though there are stronger (more recoil force resistant) epoxy “glass bedding materials out there, I would probably use Brownells ACRAGLAS Gel to do the job, as you can dye it when you mix it to somewhat closely match the wood. There is just enough “give” in it that it makes bedding Muzzleloading Barrels easier and to get the barrels out in the future and not bust the forearm. I usually use Brownells ACRA-RELEASE as the Mold Release for these jobs as it helps get the barrel out in the future over tighter fitting Mold Release like Ram Mold Release 225. You also need some kind of Non Air Hardening Clay to fill up holes or voids, before you bed the barrel. In emergencies, I have used cheap modeling clay from toy stores, but the best stuff to use is Roma Plastina Art Clay in either the soft of medium texture. (I like the medium, but others prefer the soft.)
The “trick” to using glass bedding on Muzzleloading Barrels is to get an Artist’s Pallet knife to spread it on the Mold Released barrel like one spreads frosting on cakes. IOW, you put some downward pressure on the glass bedding and that prevents voids or air bubbles next to the barrel. The super cheap pallet knives have too much spring in the blade, but the ones that cost about $ 10.00 have enough spring, but enough rigidity they work great. The only time I spread the glass bedding into the stock is if there is a good sized hole or void in it.
Oh, Smylee made a good point about only doing small sections at a time. HOWEVER, you don’t want to keep spreading new glass over glass that is already hardened, when doing it that way. That will leave “stepped surfaces” in the bedding and possibly ruin the bedding job. IOW, leave some open space between the bedded surfaces when bedding the barrels that way.
Gus