Using a check box with T/F variable to change state. The state doesn't toggle with the variable

Two things are frustrating you. One is that the change of a variable is only broadcast to the slide that changes it, so if your variable changes on a task slide, the menu slide doesn't hear it change, so triggers like this are never fired:

Far more insidious is  "When state of X(and Y) is ..." (Kick that soapbox over here.)  I'm on a one-man crusade to have it taken out of the "When" part of the trigger wizard. In programmer terms, the change of a state does not raise an event (or doesn't raise it correctly), so no trigger is initiated when it happens (or if it is, it is at random, if certain events align.) What that means in English is that "State is ..." is not an action, so how can it cause something to happen? That's why triggers like this don't work.

Notice it doesn't say "When state of X BECOMES  ...", which is how most people interpret it and want it to function. In fact, if it were written (programmed) that way, it would do what we expect it to.

The only way it can work in a trigger is if it is in the conditions portion.

(Getting off soapbox.)

You are on the right track with this trigger:

Now you need to change the Bingo triggers to be like this:

 .

Now both your state changes and your Bingo triggers will work, because there is an actual event (timeline starts) to cause them to fire. You will also need to set the menu slide to reset to initial state when revisiting, so the timeline does start every time you visit it. (Which means you can't rely on the Visited states for the task slides, so you need triggers to set those states.