Holding a torch head on a butane canister in your non-dominant hand and a solder pick in your dominant hand, heat around the length of heaped wire. Most of the wire is light in weight and can be blown around by the force of the flame so until the wire slumps together, do not aim the torch flame onto the wire. Use the solder pick to nudge any wires that moved back to the wire length. Once the wire starts to slump, move the flame over the wire to obtain a good fuse. Do not melt yet.
Allow the fused wire length to cool on the solderite board. Do not quench Argentium as it can break. Once it is cool enough to move with pliers, it can be transferred to a bench block, which will quickly pull the remaining heat out of the piece so it can be worked with again.