Apps moved near the top of the list will take priority in the row of apps in your Share Sheet. Under Suggestions, you can add/remove an app from the Share Sheet by toggling the switch next to it.

Here's how. Make Contacts Appear Less Often in iOS Share Sheet Tap the Share button (the box with an arrow pointing out) in any app to bring up the Share Sheet.

The upcoming OS release allows developers to add custom actions to share sheets that their apps invoke, which is presumably why the Google browser is dropping its custom implementation.