Extension popups can't be dismissed in Incognito mode on Chromium browsers
I, too, have this very aggravating experience.
Windows 11 Pro (up to date)
MS Edge Browser (up to date)
I have generated a ticket for support:
Re: [#CKH-68413-384] SUMMARY: Customer reports that the 1Password extension's toaster popup won't close in Chromium-based Browsers
