Thank you.
The HP Color LaserJet Pro M452nw is mentioned in About AirPrint - Apple Support as a model supporting the driverless AirPrint technology, so it should work without additional drivers from the printer manufacturer, if the printer and the computer are connected to the same network. The printer could be wirelessly connected to the Wi-Fi router, or it could use an Ethernet connection to one of the LAN ports.
There are several possible Spectrum router models.
By "remote print", I assume that you mean wireless printing within the local Wi-Fi network.
Information about how to connect an HP printer via AirPrint can be found in this article:
https://support.hp.com/us-en/document/ish_1994828-1994872-16 .
General information about how to add a printer can be found in the following Apple articles:
Connect an AirPrint printer to a Wi-Fi network - Apple Support
Add a printer on Mac - Apple Support
If there is a problem:
Reset the Mac printing system to solve a problem - Apple Support