How do I make an EventHandler non-responsive to MouseMoved after a mouse click?

Question

Consider the following code. After evaluating it, when I move the mouse over the output text, it prints 1, and when I click the mouse on text, it prints 2.

EventHandler["text", {"MouseMoved" :> (Print[1]), "MouseDown" :> (Print[2])}]

I want to modify this so when I move the mouse over the output text, it prints 1, and when I click on text, it prints 2 and stops printing 1. How do I do this?

Answer 1

One possible way is by simply using a variable to flip MouseMoved's action to none when MouseDown is triggered:

DynamicModule[{flag = True},
    EventHandler["text", 
        {"MouseMoved" :> If[flag, Print[1], ## &[]], 
         "MouseDown" :> (flag = False; Print[2])
    }]
]