Final Edit: After chatting with the user, they removed /etc/apt/apt.conf.d/proxy.conf but were still getting the same issue, except instead of not resolving proxy_server, it was not resolving proxy.server, which led me to believe the proxy settings were getting set in another location.
I had them run grep -rlE 'Acquire::.*::Proxy' /etc/apt/, which returned /etc/apt/apt.conf.
I then instructed them to run grep -nE 'Acquire::.*::Proxy' /etc/apt/apt.conf, which returned the following:
...
5:Acquire::http::Proxy "http://user:[email protected]:port/";
6:Acquire::https::Proxy "http://user:[email protected]:port/";
...
This was essentially doing the same as /etc/apt/apt.conf.d/proxy.conf, only the hostname was proxy.server instead of proxy_server. Still dummy/example settings. After instructing them to comment out lines 5 and 6 and re-run the initial command of sudo apt update --fix-missing && sudo apt upgrade, they confirmed it was working correctly and fetching updates.