No direct connection. Agetec controllers (PS1/PS2 era) use proprietary wired protocols incompatible with PS3's USB/Bluetooth HID stack.
Buy a DualShock 3 (used $15–$25) or 8BitDo Retro Receiver + Bluetooth pad ($20+$40). Native, wireless, reliable, Home button works.
Using unofficial adapters risks input issues, firmware bricks, and no vendor support.