can't connect my iPhone 13 mini and my air using bluetooth

Connect iPhone to Mac

Use your USB lightening cable --> Resolve USB-related alerts in iTunes - Apple Support

If unable to connect --> If iTunes/Finder doesn't recognize your iPhone, iPad, or iPod - Apple Support

For your Mac --> If your computer doesn't recognize your iPhone, iPad, or iPod ...

Use genuine cable --> Identify counterfeit or uncertified Lightning connector accessories ...

See how to --> Sync your iPhone, iPad, or iPod using iTunes on your computer ...

Here is the process to --> Backup on iTunes.

The steps given in this link will help you reset the passcode -> If you forgot the passcode for your iPhone, iPad, or iPod touch, or your ...

If you are experiencing an issue not listed here, contact support

Your iPhone does not have any Bluetooth profiles to accomplish anything with the MacBook Air. If you are attempting to use your iPhone as a Hotspot for your MacBook Air use WiFi instead and just set a password on your iPhone hotspot and connect on your Mac via WiFi.