Disable auth_basic for unique (set of) URL

[B.R.]

Hello,

I am using the auth_basic directive to restrict access to a whole server
(auth_basic server-wide set, not in any particular location).
Since I am using php, I am also using:

location ~ \.php$ {
    FastCGI stuff here...
}

to forward my request to the PHP application.

Now, I would like to remove the auth_basic authentication for a very unique
and specific location: thisfile.php

I first tried:

location ~ \.php$ {
    location = /thisfile.php {
        auth_basic off;
    }
    FastCGI stuff here...
}

but Nginx said:
nginx: [emerg] location "/thisfile.php" is outside location "\.php$" in
.../nginx/conf.d/mystupid.conf:69
nginx: configuration file .../nginx/nginx.conf test failed

I then tried:

location ~ \.php$ {
    location ~ ^/thisfile.php$ {
        auth_basic off;
    }
    FastCGI stuff here...
}

But of course now the FastCGI part does not server the request and the PHP
file is sent for download...

What king of clean solution do I have?
Am I forced to place the auth_basic in all my 'location' blocks but one,
which would be for 'thisfile.php'?

Thanks,
---
*B. R.*
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