Redux chat help

Hello.
I’m learning Redux and for that I’ve decided to build a simple chat app. Link - https://codepen.io/VasV/pen/zYGPNwv?editors=0110
I’d like that the Chat dynamically update when new message is sent from MessageField to store. As far as I understand I can use store.subscribe for this but for some reason it doesn’t work (or, more likely, I don’t understand how subsribe works). Can you pls explain me what am I doing wrong and how to fix it?

help pls