Safari extension not reliably unlocking

For more than four weeks now I have problems with the Safari extension not unlocking reliably. I have not been able to accurately narrow the circumstances down but it seems like the issues increased when upgrading to macOS Sonoma and can sometimes be triggered by having multiple Safari windows open in different Safari profiles. Though I am having the same issues on another machine not yet on Sonoma, though they are less often.

The behaviour that's bugging me is that the extension will not unlock at all. Clicking on the icon in the browser bar does nothing, same goes for clicking on the unlock icon inside of a password-field. The only temporary solution is to force-quit Safari with CMD+Q, unlocking 1Password while Safari is closed and then re-opening the browser. However, it is only a matter of luck for how many minutes or hours the extension keeps working.

As I have set my 1Password application to lock itself after 1 min of inactivity, the problems are more obvious for me than it may be in other circumstances. I am not able nor willing to change this time though and expect the extension to work reliably again.

1Password Version: 8.10.18 (81018040)
Extension Version: 2.17.1 2170010
OS Version: 14.1.1 (23B81)
Browser: Safari