WHOA - Hold On There Cowboy!
Me-thinks you may be having a wee bit of an over-reaction here.
I am very familiar with the 336, but not an expert by no means. When I first read the post, my first thought was that the pin was missing. Knowing how snug my forearm was to the magazine tube and how tight the barrel band was, I thought that this scenario was not possible. I still don't quite frankly, unless - as you pointed out correctly that the pin is broken. My experience has been that the forearm barrel band is quite a tight friction fit and takes a bit of effort to remove. Certainly not enough play to allow the whole forearm assembly to "slide" forward - at least with the experience I have with my rifles. I took the pin out of my new 336W and confirmed this, by the way.
The OP clearly stated that the rifle is a 336W, which I understand is a fairly newer model. My older 336 had a divot on the barrel (not sure about a corresponding one on the mag tube though, I don't remember anyways) and the pin was about 50% larger than the space between the mag tube and barrel. So there was no way that thing could move forward. Period. I have not disassembled my new 336W, but it appears to be the same. I also note that the mag tube and barrel has a noticeable cant from the receiver forward to the front band. You also stated the perhaps the mag tube slipped out of the receiver slot - yet with the front band secured, this too is impossible. On a 336 - it is not possible for the forearm to move forward, yet the OP is emphatic that it is doing the impossible. That was my basis for my posts.
Perhaps, we BOTH should have instead asked to see pictures of the rifle firstly before we wrote our replies because it may be entirely possible that the rifle may not even be a Marlin. I know for a fact (because I owned one) that the Henry has a noticeable gap between the receiver and the mag tube. If the dovetail is not affixed properly, the entire assembly will move forward, just as the OP describes, and fall off! The receiver, bolt and action look identical to the Marlin 336.
The JB reference was solely for the purposes of illustrating that a competent gunsmith provided advice to fix my specific problem with my 1894. That solution could also be applied to this case with peening (again assuming that the pin was intact).
As to the adhesive comments I provided, again, I go back to my older rifle, where the forearm fit quite snug to the mag tube. Using a contact cement or a double sided tape, that situation can be replicated. My rifle functioned fine without any issues, so that was the basis. It will assist to hold the forearm in place for the insertion of the pin. My experience with the pin is that it too, has some friction to overcome to secure it, but it does not tighten the band in any way, shape or form. With the pin in place (as evidenced by seeing it resting inside the barrel band, opposite the threaded end) there is no way, none, nada, zip that the assemble can now move forward. If it does, I need to see pictures of the rifle.
You will also note that I was also clear that the first option should be warranty and that any solutions after would be if none was available (again - assuming a new rifle).