won't work with it and you'll need a PS4 DualShock controller.
In a recent confirmation found on the Sony FAQ page, the company confirmed that incompatibility with the updated camera:
Yes, PlayStation VR games are included among the thousands of PS4 games that are playable on PS5. Please note that playing PS VR games on a PS5 console requires a PS VR headset, DualShock 4 wireless controller or PlayStation Move controller(s), and PS Camera (for PS4), which are sold separately from the PS5 console. Also, the PS5 HD Camera is not compatible with PS VR on PS5. You’ll need to use the PS Camera (for PS4), and the PS Camera adaptor (no purchase required), to use PS VR on PS5.