pygame.error: display Surface quit

Referring to the documentation, pygame.quit() - Cancels initialization of all pygame modules that were previously initialized. In your case, you should use pygame.QUIT. here is the event documentation.

Also, referring to the documentation, calling sys. exit() will cause an error SystemExit, in the case of pygame, it is recommended to create a variable run, and change its value. This approach will be cleaner and more correct.

As a result, your code should look like this so:

import pygame


def run_Game():
    # Инициализирует игру
    pygame.init()
    screen = pygame.display.set_mode(size=(1280, 800))
    pygame.display.set_caption("Alien Invasion")

    bg_color = (230, 230, 230)

    run = True

    # Основной цикл игры
    while run:

        # Отслеживание событий клавиатуры и мыши
        for event in pygame.event.get():
            if event.type == pygame.QUIT:
                run = not run

        screen.fill(bg_color)
        pygame.display.flip()


run_Game()

If you think that this option is not suitable for you, here is a solution with sys.exit:

import sys
import pygame


def run_Game():
    # Инициализирует игру
    pygame.init()
    screen = pygame.display.set_mode(size=(1280, 800))
    pygame.display.set_caption("Alien Invasion")

    bg_color = (230, 230, 230)

    # Основной цикл игры
    while True:

        # Отслеживание событий клавиатуры и мыши
        for event in pygame.event.get():
            if event.type == pygame.QUIT:
                sys.exit(0)

        screen.fill(bg_color)
        pygame.display.flip()


run_Game()