I installed the safari extension, signed in and then placed my private session link in the input box. After opening a new private window and typing a search query in the address bar, the kagi search session that appears is not private (no lock icon, still regular session seemingly).
With no privacy pass on safari, I was hoping this was the workaround but it does not seem to work.
Machine: Macbook Pro M1 Pro
OS: 26.5.2 (25F84)
Expected Safari new private windows to open search queries in a private Kagi session, instead private windows open in regular session.