I know it's a pain, but please pull apart the dash and solder the ends into place on the heater core like IJ. says. BG sealer is only a band-aid and won't hold out forever.
When you do solder, there is technique to it very much like welding:
1) Clean surface, no foreign debris, oxidation, burs that will scratch the sealing surfaces upon assembly
2) Dry, not one drop of moisture, because it is important to heat up the joint evenly
3) Just hot enough, your not brazing these together, just getting the solder to leech into the gap just until it forms a drip on the bottom of the joint, it should uniformly be just visible in the seam, then remove the heat, gently Swipe away the drip with the flux brush, and don't disturb the assembly until cool.
Pointers:
The thicker the solder, the more heat you need.
Rosin core solder is nice for wire jobs, not metal surfaces.
Silver melts at a higher heat (600*F) than your typical tin mix (450*F)
60/40 Tin content is fine.
70-140 grit sand paper does a great job of removing oxidization. Too tight, sand some more, too loose, squeeze the outer joint a lil to oval it a touch.
A 1/2" pipe brush (with stiff metal bristles) to sand the inside of the joint.
Coat both surfaces light and evenly with flux, the flux forces out oxygen to draw in solder, too much makes the solder run.
You heat the surfaces, then apply the solder, or the solder will just continue to break off until the pipe is hot. What I mean is, you torch the pipe, then the pipe melts the solder.
Be comfortable and Take your time.
Soldering these together doesn't mean they are permanently assembled.
Next time you need to transfer the pipe, put a touch of flux over the joining seam, heat the area with the torch, *HOT* this time, and with two plyers twist the pieces apart, and while the solder on the pipe is still liquid, wipe it clean with a rag, re-sand it and its good for the next application.
Any questions?