Apparently WOTC does have a live registered trademark for Planescape - except the registration's word mark is misspelled as "PLANE SCAPE" for some reason.

https://ttrpg.network/post/346132

Apparently WOTC does have a live registered trademark for Planescape - except the registration's word mark is misspelled as "PLANE SCAPE" for some reason. - The TTRPG network

So for anyone finding no live trademark registration results for “Planescape” (thus believing that book shouldn’t have a registered trademark symbol on it), this must be why. Maybe you should contact their lawyer team and tell them that the word mark in the registration is misspelled.

At least it isn’t PLANES CAPE… Or PLAN ESCAPE… Or PLANESC APE
Possibility of Superb Owl style shenanigans 😂