See my 2022-04-02 post with screenshots:
USB for both TeslaCam and Music
Possibilities:
1) The car doesn't handle 1 TB USB sticks, though that would be a surprise. Have you tried partitioning the small thumb drive into 2 partitions and see if you get a different result from the 1 TB Samsung drive?
2) Your partition map is not Master Boot Record (see my screenshots).
3) You said "The other folder I named Music". Did you mean the other partition? You have to put the music in the music partition, not in a music folder in the TESLADRIVE partition. Also, I didn't put a top-level "Music" folder in the music partition. I just added Artist folders, which contain Album folders, and those contain the actual music files (see my screenshots).
Hope that helps!
p.s. I have a 2022 M3 and I had to use the 2-partition scheme because Telsa dumped data support on the center console USB ports. They only charge. They didn't even tell me; I found out on my own. Now it's a tiny note in the Owner's Manual. In May 2022 the car started having problems seeing the 128GB Tesla-branded USB stick that came with the car. The local Tesla Service Center advised me to get a faster USB device. So I bought from Micro Center:
- Samsung 128 GB EVOPlus microSDXC UHS-I memory card A2 V30 4K ($15.99 + tax)
- IOGEAR Compact USB 3.0 SDXC/MicroSDXC reader/writer ($17.99 + tax)
That fixed the issue with the car not seeing the USB drive. However, after over a year's worth of software updates, the car still often forgets that it was playing from USB and goes back to a streaming station or over-the-air FM radio. This usually happens when I've been away from the car for a number of hours. Seems like it's a low-priority issue for Tesla, if they even know about it. I don't think I ever told them. Maybe their software intentionally "forgets" about USB, so then you might hear a nice streaming station and decide not to dump the $10/mo Premium Connectivity.