(be mindful this site is not the official repo and a keyboard is a critical app).
Just don't accept the TOS that are presented to you when you click the Bing button. Also, you can just hide that whole bar with the >< button on the left
You aren't in control of your smartphone. Microsoft/Google are. The FSF have been saying this for decades. It doesn't matter how "open source" Android is. It's not designed to put you in control.
I mean it does matter that Android is open source, but only in the sense that you can install an OS that doesn't contain that much Google stuff.