Be sure to properly identify exact build year model of 13-inch MacBook/Air.
• Identify your MacBook Air model - Apple Support
https://support.apple.com/en-us/HT201862
Then you may acquire best proper match of connector cables, adapters, etc.
Various devices & vintages of accessories, displays, should be correct to work.
• Ultimate Mac Lookup by serial number, order/model & EMC number, Model ID @ everymac.com
https://everymac.com/ultimate-mac-lookup/
The original specification information that accompanied the product new
would be helpful to locate the kind & type of ports accessories to match.
Good luck & happy trails!🌞🐝