Unable to upgrade recent 1Password through App Store in macOS Big Sur 11.2.3 (20D91)
The official support gave me the answer.
- Quit all browsers
- Open main 1Password window
- Press
⌃ + ⌥ + ⌘ + Q
to quit and indeed it quits all processes.
Weird that the CLI approach didn't work.
Anyway - solved.