You can connect just about any monitor to your M3 MacBook Air.
Your MacBook Air supports both USB-C (DisplayPort Alt Mode) and USB-C (Thunderbolt Alt Mode) video output. A lot of times, people will abbreviate these as USB-C and Thunderbolt, respectively.
Monitors can have a wide range of video inputs, including these modern ones:
- DisplayPort
- Mini DisplayPort – same signals, but on physically smaller connectors
- HDMI
- USB-C
- Thunderbolt 3/4
and these legacy/outdated ones:
- Single-link DVI
- Dual-link DVI
- VGA
- Thunderbolt 1/2
A monitor with a USB-C or Thunderbolt 3/4 input can act as a sort of mini-docking station. A single cable can carry video to the monitor, connect downstream hub ports (e.g., USB ports, Gigabit Ethernet) on the monitor, and provide charging power to your MacBook Air.
If you look on Amazon, you can get adapters and adapter cables to go from USB-C to just about anything. If you go with a separate docking station, many of these have the equivalent of adapters built in, and will bring out a signal on a dedicated HDMI port or DisplayPort.