I originally posted this bug on 11/6/22… In iOS 16.1 (20B82), when using Safari to access Google, as soon as you tapped into the Google search window, it disappeared behind the Safari address bar at the top of the screen, so you couldn’t see what you were typing. If you pulled the page down, in order to view the Google search window again, it would disappear as soon as you started typing.
On 12/12/22, with iOS update 16.2, the Google search window still disappeared behind the Safari address bar, but now when you pulled the page down to see the search window and started typing, it no longer disappeared.
On 12/16/22, I contacted an Apple Senior Advisor, about the problem, and he told me that Apple was aware of the problem, and that they were working on it.
Today, 1/25/23, I noticed that there was another iOS update… 16.3 (20D47) …so I updated my iPhone 14 Pro, to see if Apple finally fixed the problem. Nope. I was hoping that as Apple users, our being proactive by notifying Apple about the problem, and posting on this site, would help them to identify and fix the issue, by doing whatever they had to do on the Apple end, and also by them getting in touch with Google, if necessary, to make sure that the integration was not failing due to a problem on the Google end. Unfortunately, because this has gone on for so long, I have a feeling that Apple is just waiting for Google to do something.