Yes and TestComplete can recognize all objects from my application. The issue is, that when the dialog sheet shows up, then I can't see screen of my phone (with application and dialog sheet on it) in "Show Mobile Screen" option.
After I close dialog sheet I can see screen with application again.
This screen seems to be a kind of Windows UAC dialog that can't be processed by TestComplete. I seem to remember that there was a thread here that was about setting required permissions before the tested application starts in order to avoid dialogs like yours. The bad news is that I don't remember if this article was for Android, iOS or both. Another bad news is that I don't have the link at hand now. I will try to search for it but not earlier than on Monday, sorry for that.
It is for Android, but I wish something similar exists for iOS as well...
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