Backer rods are an option, this is used frequently in commercial construction window to frame fillers.
What I did on my Vista View rebuild (my '76 Sovereign
had inner glass panes, not Acrylic) was on the inside, remove all the original sealer, trim out the existing gray rubber seal, clean the entire channel/glass area well, even wire wheel brush it if necessary and finish with mineral spirits or thinner.
Begin by running a narrow bead at the glass/aluminum corner and let this set up fo a couple days, then begin filling this channel area with more Vulkem (Trempro) to the desired aount. You can 'build' with this eventually using the correct width putty knife, similar to glazing old home windows, and when cured can be trimmed, if necessary with the proper type blade to give the appearance of a factory type gray rubber seal & no one will be the wiser, if done well. You'll produce a nuke proof seal.
The beer suggestion is acceptable sometimes too with no distractions, get your Chi in order for this detailing.