How do all the multi gang multi way switches work with each other?

[granite basalt]

Hi, how does smart light dimming work with multi-gang mutli-way switches?
I want to replace light switches in one particular room with smart dimmers.
The room has 3 doors where the switches are.
Switch #1 is 1 gang
Switch #2 is 3 gang
Switch #3 is 3 gang

Light 1 controlled by switch #1 and #3
Light 2 controlled by just switch #3
Light 3 controlled by switch #2 and #3
Light 4 controlled by switch #2
Light 5 controlled by switch #2

I've a terrible pic for reference.

It's not the wiring itself, as I'm fine with that. I've neutral wire at all the back boxes. I just need advice on what I've to change to get all above bulbs dimmable from switch and home assistant.

[granite basalt]

Anyone?