I had started working on something similar to this, but without the Google Drive component. I wanted something where I could right click and "snag" a file, link or document and have it saved to a server I controlled.

It's not complete, mostly because the frontend is a mess, but the backend is able to save files, pages and links (https://gitlab.com/thebird/snag). Used Rust backend, Svelte and JS for the extension (of course).