How to set different permissions for files and folders in .htaccess?

Question

Apache HTTP Server

Hello
In general, I didn’t pick htaccess-s much, so I don’t know much about them, so I’m sorry right away
There is a web server (Apache)
The file structure is as follows

folder1/
folder2/
public_folder/
public_folder/file1.php
public_folder/folder/protected_file.php

The task is
to close All files and folders with basic authorization
The public_folder folder, open files and folders in it for everyone, but here's a trick
Inside public_folder subfolders, one file must be closed for everyone except one user (don't even ask why such a structure)
Type constructions

SetEnvIf Request_URI "(public_folder/)$" allow
Order allow,deny
Allow from env=allow
Satisfy any

don't work, don't know why (just doesn't ask for authorization)
Tried putting an extra .htaccess for public_folder with Satisfy any and

<Files "protected_file.php">
AuthName "Member Only"
AuthType Basic
AuthUserFile /etc/apache2/.htpasswd
require user Vasily
</Files>

, but the files are overridden by Satisfy any
Tell me, please, how to be?

Answer 1

/public_folder/folder/.htaccess

<Files "protected_file.php">
AuthName "Member Only"
AuthType Basic
AuthUserFile /etc/apache2/.htpasswd
require user Vasily

Satisfy All
</Files>

/public_folder/.htaccess
/.htaccess

AuthName "Member Only"
AuthType Basic
AuthUserFile /etc/apache2/.htpasswd
require valid-user

Satisfy All