tf_logic_cp_timer issue

So.

I'm making a special CP gametype prefab. I'm not specifying what it is because it's not finished. It is a type of A/D mode, and the first point to cap uses tf_logic_cp_timer which gives it a time limit before it locks and moves on to the next point. Don't bug me about the gamemode because it's just for fun.

My issue is: the timer on the HUD won't turn off when someone caps the point and the next point unlocks, it exits the HUD fine when it runs out though.

I tried using "OnCapTeam2 > cap_a_timer (the tf_logic_cp_timer) > Kill" , but it doesn't work. Even if the point is capped the timer keeps on counting down. When it reaches the end, though, it disappears.

Can anyone help me?
(I know this is an underused entity that sees little light and people might not know much about it, but I need to know how to shut it off cleanly to make the HUD more pleasing to look at. (I spent over 6 hours straight working at this prefab and this is the only error I have left, help is appreciated))

(if there's no fix, that's okay, everything works fine otherwise, it just looks weird and confusing having the timer there)

There's no output for setting the time of the timer. tf_logic_cp_timer seems to be fairly primitive. The only outputs for it are AddOutput, FireUser1-4, Kill and KillHierarchy, none of those are useful as far as I can tell. It feels like it was made specifically for "last" points and not for any point in between.