How to connect HP LaserJet P1102 with MacBook Air M3 (macOS Sequoia 15.3.1)?

Would this be the USB-only HP LaserJet Pro P1102?

If so, the latest supported macOS version for drivers from HP appears to be 12 Monterey.

https://support.hp.com/us-en/drivers/hp-laserjet-pro-p1102-printer-series/model/4110303

The HP 5.1.1 Printer Software Update - Apple Support download from Apple has a macOS 12 limitation as well. A problem for other printer models has been that the installation does not work with the latest macOS versions. Various modifications have been suggested, but the success rate seems to be somewhat unclear.

If a compatible HP driver for macOS 15 cannot be found, or if another software solution is not possible, you may have to look for a workaround.

Linux drivers are available for the HP LaserJet Professional p1102 Printer.

https://developers.hp.com/hp-linux-imaging-and-printing/supported_devices/index

You may want to investigate whether a small Linux-based Raspberry Pi print server using CUPS would allow a USB-connected HP LaserJet P1102 to be shared with a modern Mac (or iPhone/iPad) on a network in an AirPrint-like way. Look upon this as an experiment.

Tesserax reported about using a Raspberry Pi 3 Model B+ for an old HP LaserJet printer.

Can I connect my laser printer to my netw… - Apple Community

Details about a Raspberry Pi print server setup (for a USB connection to a Kyocera laser printer) can be found in the posts by Techguyuk in Can’t print with iPadOS17 - Apple Community.

And if you decide to replace this 2011-era printer, whatever printer you pick, you absolutely want a printer with AirPrint support.