It's not that you actually use the obsolete old versions of TLS, it's that your MySql server can use
them. That's a vulnerability because cybercreeps can try to connect to your server with them and then exploit their weaknesses.
Writeup here.
Say this to MySql: SHOW GLOBAL VARIABLES LIKE 'tls_version'
. You'll probably see something like TLSv1,TLSv1.1,TLSv1.2
.
You can change this system variable to say just TLSv1.2
at MySql server startup time. Doing so will remove the vulnerability. (Changing the startup configuration is described in the linked article, and it's tricky enough that you should read the article; I don't want to try to give you a short version here, because the exact configurations can be OS and MySql version dependent.)
Or the security advisor program you use has it wrong. That is possible.