When we take screen recordings of websites and web apps, there are a few things to keep in mind which this article covers.
Browser window is resized so that site logo is aligned with the content area, and so there is a decent amount of space on the sides (i.e. the content isn't right at the edge of the screen), but there's not a TON of space.
Best and fastest method for taking screen recordings is to use OBS Studio.
This allows you to drag the contents of the window and resize them. Combined with resizing the UI in the browser, you can position content for a recording in a way that requires no further size adjustments in Premiere.
The video below is timestamped to show proper screen-recorded footage for a Skillshare ad: