simple auth question for nested sections

[Jonathan Vanasco]

apologies for the simple question, but i could only find the opposite situation 
in the list archives and I haven't had to reconfigure some of these routes in 
years!

i have 

        # works
        location /foo {
                proxy_pass  http://127.0.0.1:6543;
        }

I want to lock down /foo/admin with basic auth

        # works
        location /foo/admin {
                proxy_pass  http://127.0.0.1:6543;
                auth_basic "Administrator Login";
                auth_basic_user_file /etc/nginx/_htpasswd/well-known;
        }

Is there a syntax for nesting the two together, so the /foo/admin would inherit 
the /foo configuration without the need to redeclare everything?

        # something like
        location /foo {
                proxy_pass  http://127.0.0.1:6543;
                location /foo/admin {
                        auth_basic "Administrator Login";
                        auth_basic_user_file /etc/nginx/_htpasswd/well-known;
                }
        }

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