You can try using a scoreboard to store the number of deaths using:
/scoreboard objectives add died deathCount
and then a repeating command block with the following command to reset it to 0
/execute as @a if score @s died matches 1.. run scoreboard players set @s died 0
Now just do:
/execute as @a if entity @s[team=1, scores={died=1}] run kick @s Dead men must be kicked.
That will basically add a scoreboard called dead to store deaths obviously
then set it to 0 if greater or equal than 1
if its greater than 0 will kick the person.
