You actually don't need more than the ESP32 and the led matrix. The LEDs are connected in series and you send a bit stream of RGB. Each led had an internal shift register with one input pin and one output pin, connected to the next LEDs input pin.
So one microcontroller with one output pin available is all you need. Since there is no clock signal, timing needs to quite tight.
To find more information you can google WS2812 or Neopixel. Libraries to use the protocol exists for most microcontrollers.
An ESP32 module is a good choice because it costs $2-3, includes wifi and BT, antenna or UF-L plug, and is pre-certified.
I made a little portrait frame and MCU that draws Conway's Life.
https://www.amazon.com/gp/product/B09CTQ37DB (I got the 16x16 for $16). Another <$10 for the ESP32. A soldering iron ($40 for a pinecil), $verylittle for solder and hook up wire. In my case, a 3D printer ($500) plus filament ($20), and some design software ($500/year, because Fusion 360 expensive).
So one microcontroller with one output pin available is all you need. Since there is no clock signal, timing needs to quite tight.
To find more information you can google WS2812 or Neopixel. Libraries to use the protocol exists for most microcontrollers.
An ESP32 module is a good choice because it costs $2-3, includes wifi and BT, antenna or UF-L plug, and is pre-certified.