Addendum
Albeit not listed in About AirPrint - Apple Support, the OfficeJet Pro 8100 series (OfficeJet Pro 8100 - N811, N811a, N811d) has been mentioned as supporting AirPrint (under Mobile printing support and solutions for OfficeJet printers) in the HP article https://support.hp.com/us-en/document/ish_2843711-2427128-16 .
The driverless AirPrint technology is compatible with macOS, and allows use without additional drivers/software, provided that the printer and the Mac computer are connected to the same network (Wi-Fi router). AirPrint works with wireless (Wi-Fi) or wired Ethernet network connections.
However, since the OfficeJet Pro 8100 series appears to be from approx. 2011, this may be an early AirPrint/firmware version, possibly with many limitations. You could perhaps use an iPhone/iPad in order to check whether there are basic AirPrint capabilities.
Use AirPrint to print from your iPhone, iPad, or iPod touch - Apple Support
If this particular printer would work well via AirPrint with a macOS 12 Monterey Mac is another matter.