The "latest" app that has a Print module is called "Lightroom-Classic" (currently v14.2)
If you installed the Cloud based app that is simply called "Lightroom" v8.2 - then you do not have a Print module. With the 'Cloud' Lightroom you need to Export an image to a local drive and print with another app, or, If you have Photoshop, there is a menu link to [Edit in Photoshop] from which you can print.
COMPARE LIGHTROOM & LIGHTROOM-CLASSIC FEATURES
You could add an upvote to the long 'ideas' thread at-
Lightroom Desktop: Ability to print
Regards. My System: Windows-11, Lightroom-Classic 15.6, Photoshop 27.8, ACR 18.7, Lightroom 9.4, Lr-iOS 10.4.0, Bridge 16.0.3 .