Can't access Apple TV as I entered wrong Apple ID & passwords

It sounds as if your Apple TV unit is unresponsive, and if so you won't be able to access the Settings menu to reset it. Follow Apple's advice from Reset Apple TV - Apple Support:

• If you have an Apple TV HD and a Mac with macOS Catalina or later: Disconnect the HDMI cable from Apple TV, but leave the power connected. Connect one end of a USB-C cable (sold separately) to Apple TV and the other end to your Mac computer. Open the Finder on your Mac, select Apple TV in the sidebar, then select Restore. If that doesn’t work, contact Apple TV Support.