How do I print in black and white?

There are exactly two drivers for your HP device that are compatible with macOS Monterey: 1) the one that the HP Easy Start application installs for you¹, and 2) the built-in Apple AirPrint driver for the E67550dn when you have the device networked. That latter does not need a driver download from HP and provides you with vendor independence.

¹ There are firmware updates released in June 2022 and Aug 2022 that are not in version order but may add features to your device that Windows users already have.

It depends on the printer driver.

In my home printer (also from HP), there is a checkbox right at the top:

But on a different printer, they may appear in a different place.

Check that popup menu that now says "Preview". Maybe it is in there if you choose instead "Printer features" or "Paper and Quality" or something like that. As I said, it varies. The actual printer driver determines this.

In the middle of your first screenshot there is a dropdown box that says "Preview." There are more options in that dropdown box. Click it - normally, one of the additional options is Print Settings (or something similar), where you can select Color, Greyscale or Black & White.

In my case, I have an Epson photo printer, but your HP should have similar settings.

When you click "Preview":

When you then select "Print Settings":

Does File Menu -> Page Setup give you more options?

If not, this website can take a Save to PDF that is color, and make it black and white.