You simply cannot tap on an input with the Android Talkback accessibility reader on. The input-cover designed to take the tap event in order to catch and move the input and prevent browser scrolling before the input is focused is capturing the touch. Because it is an empty div with no role, it is not focusable to the accessibility reader. On iOS this is different, as the reader does more of a “tap through” where it will select accessible items that are behind non-accessible items.
This seems like a huge oversight. The only way to access these inputs is via the swipe left/right ability of the accessibility reader, but many accessibility users are only visually impaired and still point and click or use the touch+drag to read whichever element is under their finger. These two methods do not work with the input-cover (which is still necessary to prevent browser scrolling and losing the header/footer).