What is the correct "mysql-client" package to install in Debian 12?

In Debian **Desktop** 12 if I want to do a remote connection as client to a MySQL Server in other machine in the LAN I need use the mysql command, when it is executed happens the following:

manueljordan@vm163:~$ mysql 
bash: mysql: command not found

If is executed the apt search mysql-client command happens the following:

manueljordan@vm163:~$ apt search mysql-client
Sorting... Done
Full Text Search... Done
default-mysql-client/stable 1.1.0 all
  MySQL database client binaries (metapackage)

default-mysql-client-core/stable 1.1.0 all
  MySQL database core client binaries (metapackage)

Therefore: * What is the correct package to install? **default-mysql-client** or **default-mysql-client-core**? and Why? And just being curious: * What exists two packages? * What is the difference between them? Thanks in advance