When you create the window state, and link the trigger to a tag, you will see a “Value Tag Selection” window. In the lower right is where the refresh time for the trigger is at, it is 500 ms in the screenshot below. Make sure that this time is set safely under the delay time in your strategy, so that the trigger has time to see the tag before its value changes.
I would avoid the “>=” comparator in this case and stick with “=”. Current Value = 2 would be the trigger for the 2nd window, Current Value =3 would be the trigger for the third window, etc. Also make sure the Pop Window settings are correct. Below is an example of what it looks like if it is to open a window named “Error”.
If you can provide screenshots of your window state manager settings, or attach the strategy / display files, you might be able to get more specific advice.