When you use a Rule, for it to take action the rule-truth must change. So if the rule is already true because one of the sensors is open, opening additional sensors will not cause anything to happen.
You should use a Trigger, not a Rule for what you want to do. With a Trigger, each trigger event will cause the action. This is what you are describing.
Whenever there is a Rule with a single Condition (your case), and there are only Actions for True (also your case), that should be a Trigger.
This is all explained in the Rule Machine Introduction, here:
