sync use of db entries between keyboard and autofill

**Is your feature request related to a problem? Please describe.**
I have many webpages that need a TOTP token after the password in the same field and my browser is edge. So if i go to one of the pages the autofill chooses the right db entrie, but no token can be filled. So I must change to the keyboard, but this will use always the microsoft db entry because it will detect edge. So I must manually search and choose the right db entry, so that I can add the TOTP token.

**Describe the solution you'd like**
It will be great that the autofill detected entry also sets this entry for the keyboard.

**Describe alternatives you've considered**
Another possibile solution were to fix the keyboard, that it also detects the choosen website, not the company of the browser

No file, test, or entry point is named. Start by tracing the autofill and keyboard entry-selection flows, then determine how the autofill-selected database entry can be shared with keyboard input; done means the keyboard uses that same entry to fill the TOTP token for the webpage.

Written by the indexing model from the issue text.