Jumping in as well - school district IT and we have a couple thousand iPads on 16, 17, 18 and 26. In all cases iPads where Word has updated to 2.103.1 the Print button in the menu does not work. If you happen to have a keyboard attached to the iPad (our staff users have the keyboard) you can use Command-P to print.
This is definitely a Microsoft bug in MS Word 2.103.1 for iPad, nothing to do with iPadOS version, printer firmware, etc.