Yikes, that is crazy. Like the spare was replaced with the cheapest possible used tire sitting around the tire shop. I replaced my original OEM spare with a cheapo Kenda Klever AT a few years ago.
Also note that if you have aftermarket wheels, the aftermarket lug nuts won't work with the lug-centric OEM Lexus wheel. When I got the Klever I also bought a takeoff steel Toyota FJC spare wheel on eBay for around $70, which works with both normal acorn lug nuts and lug-centric Lexus lug nuts. Before that I carried a spare pair of OEM lug nuts in the rig (but they were a different hex size than the aftermarket lug nuts, so I had to carry two sockets

).