Inject Generic Floating Toolbar into any Website using Playwright

The objective I am pursuing is the following: I want to be able to open any web site or web application and have my own floating toolbar on top of the web site’s content. As I am making my way through the site or application, I can use functions from the toolbar — such as taking a snapshot of the current page state and saving it to file, downloading all images in the current page, fill in the form fields using predefined or random values and start a demo.