Thank you for your post!
To hopefully help point you in the right direction when it comes to modifying your Blazor application's code to include the login_hint
parameter and bypass the "Pick user popup" after sign-out, you should be able to reference the below.
For more info - How to Logout of an OAuth2 Application without getting prompted to seelct a user.
// Construct the logout URL with the logout_hint and post_logout_redirect_uri parameters
var logoutUrl = $"https://login.microsoftonline.com/{tenant}/oauth2/logout?post_logout_redirect_uri={logoutRedirectUri}&logout_hint={userId}";
var logoutUrl = $"authentication/logout?login_hint={userId}&post_logout_redirect_uri={logoutRedirectUri}&prompt=none";
//Open ID Connect/OAuth2 application example:
https://login.microsoftonline.com/{tenant}/oauth2/v2.0/logout?post_logout_redirect_uri={redirect_uri}&logout_hint={user_id}
Additional Link:
I hope this helps!
If you have any other questions, please let me know. Thank you for your time and patience throughout this issue.