Have you tried it? With curl?
If all servers have the same user/password, then I think just
curl nodeA:9104/probe?target=nodeB:3306
should work, using the credentials from the [client] section of my.cnf.
If they have different usernames/passwords, then as the documentation says, you can add additional sections to my.cnf:
[client]
user=mysqld_exporter
password=StrongPassword
[client.secret]
user=mysqld_exporter
password=VeryStrongPassword
and call /probe?target=nodeB:3306&auth_module=client.secret
If you don't provide auth_module then the "[client]" section will be used, as the documentation I linked to before says: Will match value to child in config file. Default value is `client`
Of course, you will have to arrange that nodes B and C accept mysql connections from node A. You can test this using the 'mysql' command line tool on node A, to see if you can establish connections to B/C.