You're posting Alias names. These don't help me as I have no idea what they are.
In my Delphi application, as I mentioned, I have a "TPageControl" object (this is the class name) which is the container for all the tabs on that panel. This has child objects which are all the tabs. They are of class "TTabSheet". I find them,validate them and activate them using the TPageControl object, not directly. If I want to check if an individual tab is active, I check it's visibility and focus states. But, as I say, control is all done via the controller/container object.
Without knowing the class names of your objects, I have no idea of knowing what you're working with and therefore no idea how you would interact with it.
Also - your Alias reads these are nested tabs. You have tabDeal then tabDayparts. For me, this wouldn't make any difference. There would simply be two TPageControl objects. The second being a child object of one of the tabs on the first. No idea how this looks for you ...