Print Center will not find/recognize my Printer

iMac running Sonoma 14.5

Printer is an HP OfficeJet Pro 8035

Print Center Version 1.0 (621.2)

Just about every time I try to print a document, it will not print. When I open the print que in Print Center, I see the file waiting to be printed and the message "printer is offline." But it absolutely IS online—I can turn my head and see it, ready and raring to go. Sometimes the printer is asleep when this happens, but sometimes not. Sometimes I have JUST PRINTED something successfully.

Yes, the printer shows in the list, is connected to the same wifi network, etc. etc. The gear icon in Print Center will happily show me details on the printer, and connect me to the Printer Web page (which shows the printer connected to wifi just fine!). The printer itself functions normally.

This has been going on for months now. And it seems to be getting worse. It used to happen once or twice a week, now it is just about every time I try to print.

So...any idea WHY Print Center cannot see that my printer is online?? How do I fix this?