feasibility of connecting MIDI controller to Nintendo Entertainment System

Hello! I am a complete beginner, so am hoping to get some advice on whether this idea is feasible and, if so, which Arduino board I would need?

I am wanting to take a standard MIDI keyboard (like this: https://www.arturia.com/keystep/overview) and make something that will allow it to send signals to a Nintendo Entertainment System (NES) controller input. (I have lots of old NES controllers that I can take apart and experiment with).

What I want to do is program the Arduino board so that a certain key press on the MIDI keyboard with trigger a specific input on the NES controller (i.e., C for Down, G for up, etc.)

I understand that devices like this one exist already: Famimimidi NES Version – Catskull Electronics ... but as far as I can see, this is for directly controlling the sound chip with MIDI. Very cool but what I want to be able to do is control existing NES games using MIDI keyboard input!

I found some helpful info here, although this seems to be for connecting to a PC with USB using MIDI. But I'm guessing I would need some of the same parts, like the MIDI connector?

I have a little bit of programming experience, so I think I could handle that part, but I'm just not sure where to begin with regard to which parts I need, how to connect them, etc.

Does this project sound feasible and could anyone recommend which parts I should be looking at?

Many thanks!