Se for multiplayer, primeira coisa é aprender a trabalhar com sockets, Dê uma pesquisada também para entender como funciona a teoria da coisa.

Se for apenas Singleplayer, esquece tudo que falamos sobre servidor, só vai ser um game simples do lado do cliente.

Usei esse propmt no ChatGPT, pode usar também para testar alguns conceitos isolados se precisar.

Create an example game in python with pygame lib. Game multiplayer client and server side in python

server.py

import socket
import threading

# Server configuration
host = '127.0.0.1'
port = 55555

# Create a socket
server = socket.socket(socket.AF_INET, socket.SOCK_STREAM)
server.bind((host, port))
server.listen()

# List to store connected clients
clients = []

def broadcast(message, client_socket):
    for client in clients:
        if client != client_socket:
            try:
                client.send(message)
            except:
                clients.remove(client)

def handle_client(client):
    while True:
        try:
            message = client.recv(1024)
            broadcast(message, client)
        except:
            # Remove the client if disconnected
            clients.remove(client)
            break

def main():
    print(f"Server is listening on {host}:{port}")

    while True:
        client, address = server.accept()
        print(f"Accepted connection from {address}")

        # Add the client to the list
        clients.append(client)

        # Start a new thread to handle the client
        client_thread = threading.Thread(target=handle_client, args=(client,))
        client_thread.start()

if __name__ == "__main__":
    main()

client.py

import socket
import threading
import pygame

# Client configuration
host = '127.0.0.1'
port = 55555

# Initialize Pygame
pygame.init()

# Set up the screen
WIDTH, HEIGHT = 600, 400
screen = pygame.display.set_mode((WIDTH, HEIGHT))
pygame.display.set_caption("Chat Client")

# Colors
WHITE = (255, 255, 255)
BLACK = (0, 0, 0)

# Fonts
font = pygame.font.Font(None, 36)

# Input box
input_rect = pygame.Rect(10, 350, 480, 25)
input_color = pygame.Color('lightskyblue3')
input_text = ""

# Create a socket
client = socket.socket(socket.AF_INET, socket.SOCK_STREAM)
client.connect((host, port))

def receive():
    while True:
        try:
            message = client.recv(1024).decode('utf-8')
            print(message)  # Display the message on the console for now
        except:
            print("An error occurred!")
            client.close()
            break

def draw_input_box():
    pygame.draw.rect(screen, input_color, input_rect, 0)
    pygame.draw.rect(screen, BLACK, input_rect, 2)
    text_surface = font.render(input_text, True, BLACK)
    screen.blit(text_surface, (input_rect.x + 5, input_rect.y + 5))

def main():
    receive_thread = threading.Thread(target=receive)
    receive_thread.start()

    clock = pygame.time.Clock()
    running = True

    while running:
        for event in pygame.event.get():
            if event.type == pygame.QUIT:
                running = False
            elif event.type == pygame.KEYDOWN:
                if event.key == pygame.K_RETURN:
                    # Send the message to the server
                    client.send(input_text.encode('utf-8'))
                    input_text = ""
                elif event.key == pygame.K_BACKSPACE:
                    input_text = input_text[:-1]
                else:
                    input_text += event.unicode

        screen.fill(WHITE)
        draw_input_box()
        pygame.display.flip()
        clock.tick(30)

    client.close()

if __name__ == "__main__":
    main()