Steam Deck natively recognizes the PS3 controller. Simply plug it in via USB, wait for Steam OS to recognize it, then unplug USB cable and it will work over Bluetooth without needing
USB Adapter 2 for DualShock 3 PS3 on Android macOS MD mini PS Classic 8BitDo
Amazon.com: PlayStation 3 DualShock 3 wireless controller - Metallic Grey : Video Games
Amazon.com: PlayStation 3 Dualshock 3 Wireless Controller (Black) : Video Games
DualShock 3 - PS3 Developer wiki
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PS3 Wireless Controller Enhanced Remote Gampad Joystick Compatible for PlayStation 3 Double Vibration PS3 Controller BLUE - Walmart.com
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Download 1 Button - Ps3 Controller PNG Image with No Background - PNGkey.com
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CHENGDAO Controller Wireless for PS3 SIX-AXIS Double Shock Controller for Playstation 3 with Charge Cord: Amazon.co.uk: PC & Video Games