An Apple TV is compact enough to do the TV connection. Just use AirPlay to connect to it.
One of the larger sub-groups of the Mac User Group used to have a bag of various dongles for presenters to connect to a laser/LED projector. About six years ago they started using an Apple TV 3rd gen connected to the projector via HDMI cable. The audio section is covered by a battery-powered PA system connected to microphones or a 3.5mm audio plug.
This way you don’t have to worry about the limited port selection (Thunderbolt3/USB 4.0) on the current M1 MacBook Air/MacBook Pro.
In truth, I doubt you’d even meed a MacBook Pro: a MacBook Air with 512 GB storage, 16 GB Unified Memory & the 8 graphics cores that comes with that combination should be plenty powerful for you.
I’m basing this recommendation on my base model M1 MacBook Air - that has 256 GB storage, 8 GB Unified Memory & 7 graphics cores. All M1 Macs (except the M1 Pro & Max models) have 8 processor cores.