You actually need to make some "state" to add as a condition in your "is falling" event.
You can add a boolean "Alive" to your player object that will be kept true as long as it is alive. You can do the same by checking that Health's value is > 0.
On the moment it dies, pass the boolean to False, it will make it so that only the death animation is played, entirely and not "short circuited" by the "falling"/"on landed" animation.
See attached capx made in .
Okay I think i'm doing this right but it works as long as i'm standing still... if the death animation starts playing and you push a movement key he ends up just standing there and then never dies.