Domain pointing to another website?

Hello guys.

I am new to the forum and I could use some help with a problem I have.

I have a domain (example.com) that is handled by company A.
I also have a web server with cPanel that I have full access at a company B.

I have created a subdomain (falieris.example.com) in order to separate things from the main server and I would now like to connect the domain to point to the public_html of the newly set subdomain.

At the domain, I have set 2 A entries for DNS, 1 for "@" to point to the IP address of my server (192.196.xxx.xxx) and 1 for "www" to also point there.
At the web server, I have left the default settings of the subdomain.

Unfortunately, when I access "example.com" I get an error and I am redirected to "example.com/cgi-sys/defaultwebpage.cgi".

What am I doing wrong?
Is there something else I should change, update or check?

Thank you for your help.