One ALB, one HTTPS listener, one TG - can I have both authorised requests with Cognito and Non-authorised requests?

Hi, can someone please let me know if this is a viable solution and if it's even possible. I have an Application Load Balancer sitting in front of my Target Group which is linked to my ECS Cluster where I have deployed a monolith that contains frontend user routing that doesn't require authentication as well as admin routing that does require authentication. Lets say my load balancer is www.example-alb.com - can I still use Cognito as an IdP where I have for example a path condition based rules on my listener that check whether the request is (1) www.example-alb.com/user or (2) www.example-alb.com/admin and if its (1) the request doesn't need to be authenticated and gets forwarded to the target group whereas if its (2) the request does need to be authenticated first and then forwarded to the target group.

Once the request reaches the target group then the routing authentication logic will verify the token or whatever for the admin paths.

Is this reasonable/viable , can it work or its not really how things are done?