Oh, it's nowhere loose enough to get that kind of shim into place. With the fore end off it takes a pretty good shake to get even the slightest 'tick' of a wobble felt in the hands. If I stick with the proper light loads I'll probably get quite a few more years out of it.
("Take a can of my favorite beer." Uh-oh... that'd definitely be a problem right off the bat! None of the beers I'm most likely to consume are available in cans; my homebrew all goes into bottles, and a crushed up IPA bottle probably wouldn't be quite the same.)