The 3rd gen Tundra uses an 18x7 spare which would work perfectly to replace your 17x7 spare. Width doesn't matter too much, the 1/2" won't make a difference and at least with it being an 18" you could put another full size 265/70R18 on it.
The Tundra shares the same smaller hub bore and same 6x5.5" M14 stud bolt pattern as the new Tacoma, so it should work perfectly.
Permanent Spare 2022-2023 TOYOTA Tundra Sequoia 18” OEM Steel Wheel Rim NICE! | eBay
The offset on Tacoma 18x7.5 is +55mm. I don't know what the Tundra spare is but I imagine it's close to that. The Tundra normal wheels I am seeing as +60mm on the forum and ebay listings. Spare is probably +55 or +60. Definitely nothing in either generation is anywhere close to 0mm offset, that would stick way out.What is the offset of the TRD Sport 18 x 7.5? 0?