How may I install a specific version of a package only if the installed version is not higher

Given an Ubuntu machine using apt or apt-get, is there a built-in or recommended way to check if a package is installed at a minimum version? A package may be available in multiple versions:

apt-cache madison percona-server-server
percona-server-server | 8.4.5-5-1.noble | http://repo.percona.com/ps-84-lts/apt  noble/main amd64 Packages
percona-server-server | 8.4.4-4-1.noble | http://repo.percona.com/ps-84-lts/apt  noble/main amd64 Packages
percona-server-server | 8.4.3-3-1.noble | http://repo.percona.com/ps-84-lts/apt  noble/main amd64 Packages
percona-server-server | 8.4.2-2-1.noble | http://repo.percona.com/ps-84-lts/apt  noble/main amd64 Packages
percona-server-server | 8.4.0-1-1.noble | http://repo.percona.com/ps-84-lts/apt  noble/main amd64 Packages
percona-server |  8.4.5-5-1 | http://repo.percona.com/ps-84-lts/apt  noble/main Sources
percona-server |  8.4.4-4-1 | http://repo.percona.com/ps-84-lts/apt  noble/main Sources
percona-server |  8.4.3-3-1 | http://repo.percona.com/ps-84-lts/apt  noble/main Sources
percona-server |  8.4.2-2-1 | http://repo.percona.com/ps-84-lts/apt  noble/main Sources
percona-server |  8.4.0-1-1 | http://repo.percona.com/ps-84-lts/apt  noble/main Sources

I know that I can get the currently installed version of a package by:

dpkg -s percona-server-server | grep Version
8.4.5-5-1.noble

I know I can install a specific version via:

apt-get -qq install percona-server-server=8.4.5-5-1.noble

Yet, how can one only install a target version if the current one is lower than that?