Trigger 2 triacs in parallel simultaneously
Paralleling triacs is a bad idea.

First, the one that latches faster will collapse the voltage, possibly preventing the slightly slower triac from ever turning on.

Second, even if both triacs turn on, they won't share the current well.  Triacs are sandwiches of effectively bipolar devices and silicon junctions.  These have lower forward voltage at higher temperature.  The one that takes a bit more current will get warmer, which lowers its voltage, which causes it to take a larger fraction of the current, which makes it even warmer, etc.

Find something rated for 80 A to switch the load.