It's not a DVD drive, it's a Blu-Ray drive.
See if it shows contents when you browse into the disc when you put disc in. If it does, then the drive is working fine. Otherwise you may have some revision and/or firmware version that doesn't support PS3 games.
Desktop: Ryzen 7 5800X, Radeon RX 6800 XT, 2x8G DDR4 3600MHz, Manjaro Linux
Laptop: Ryzen 9 5900HX, Radeon RX 6700M, 2x8G DDR4 3200MHz, Manjaro Linux
Old Desktop: AMD FX-8350, Radeon R9 280X, 2x4G DDR3 1600MHz, Manjaro Linux