I use my personal Adobe Pro account for my work. I have a Macbook Air that the extension works perfectly on, and I'm able to edit PDFs within the browser; however, on my iMac desktop, which is my primary work computer, I can't get the extension to allow me to edit documents. The only thing I can do on the desktop within Chrome is choose whether an icon is displayed that allows the document to be opened in the Adobe desktop app. Below, I've attached a screenshot of what options are displayed when I click the extension icon on the desktop.
Chrome, Adobe apps, and the Adobe extension are all fully updated; the only difference is that the laptop is running the most recent OSX, Monterey, and the desktop is like a month too old to be able to run the new one, so it's still on Big Sur.
Edit and convert PDFs
PDF and browsers