Passkeys and Auth app on android OS

Question

Hello.

I try to use Microsoft Authenticator as a part of windows system security on my android device.

Now Im struggling with understanding how passkeys and microsoft auth app should work. I have passkeys tab in down right corner of my app. There is an option to scan qr code. So the desired behavior should be that when i push this dialog i will scan the qr and see my passkey in this tab. But instead of this passkey is added to the google paskeys vault instead. To be clear I have turned on microsoft auth app as a default password app in my phone settings and have google turned on as a additional one. If i turn off google as an additional the passkeys saving function in microsoft auth app is broken. It plays animation of passkey saving and it ends with an error. It never worked with my current Pixel 9 Pro XL on last android version so as on my previous pixel 6 running every prev. android that i had on it. So do somebody have any positive experience with adding passkeys trough microsoft auth app and how you managed to set it up?