Counter/logic/when clicked Puzzle Issues

I am having an issue with the counter puzzles.

I need to have the same objects prompt different frames of an animated empty based on when its clicked. My idea was to set up a counter puzzle with logic blocks.

FULL PROCESS SHOULD BE-
I have a camera parented to an empty that moves up a ladder based on if they click left or right hand (objects) before it disappears. Only one hand appears at a time.
The first object is a left hand on screen. If it is clicked before it disappears and counter =1 then it plays keyframes for animation 1 and upon completion of animation playing the right hand object appears and the process repeats for animation 2. If the hand disappears before it is clicked it plays a set of keyframes that simulate a fall from that point on the ladder. So each upward animation or fall animation are a different set of keyframes based on their height on the ladder.

-counter begins at 0
-each time the object is clicked, it adds 1 to the counter.
-when clicked if counter = 1 do animation 1
-when clicked if counter = 2 do animation 2
-if it isn’t clicked in time prompt animation 3

The issue is every puzzle order I try the second climb animation for each hand never prompts, even if the counter clicks register in terminal.

I also can only get the first fall animation to work and no others.

THINGS I TRIED:
I set up both left and right hand to use the same counter.
I set up both left and right hand to use their own counters.

Screen shot 1 has one way I tried the puzzles, and then the disabled puzzle below that are the version I tried with an if-then-else if puzzle. Neither have worked.

Screenshot 2 shows the fall animation for fall 1. But it doesn’t work for fall 2 (those puzzle are deleted now but screenshot 3 shows the one time I got the fall to work for hand 1 and 2).

Screenshot 4 was another way I had the climb puzzles set up at first