If I hit my opponent's last remaining Character that has a Mystic TA and gets knocked out and my character (also remaining on my force) is on it's last click, will i take the unavoidable damage? If so, do we both lose the game?

Thanks in advance

My understanding is yes you do get damage since the Mystic damage is delt directly after attack damaged is dealt, so before the character is take off board because it has been KOed.

again as I underdsrand it:
Once both character are off the board you tally up the points.
The person with most points wins (which is possible since team have different point totals).
If your tied for point you go to roll off.

This is correct. Just make sure you use the points scored. Do not just compare build totals.

Thanks for the clarification.

The same principle applies to pushing yourself to KO on the last action.

Here's a recap of one of my favorite games. (Originally posted here)

This is a big help.
Thanks.