How I do a input to a global variable outside of a function in Python?

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Python

game

Hi guys im working on a example of a 4conector game i saw on a quick search. I want to insert the depth of the search tree (SEARCH_DEPTH), but im having some dificulties.This is a part of the code:

BOARD_SIZE_X = 7
BOARD_SIZE_Y = 6
SEARCH_DEPTH = 6

def playGame():
    gameState = [[0 for col in range(BOARD_SIZE_X)] for row in range(BOARD_SIZE_Y)]
    moveHeights = [0] * BOARD_SIZE_X
    player = COMPUTER_PLAYER
    opponent = HUMAN_PLAYER
    winner = 0
    gameOver = False
    remainingColumns = BOARD_SIZE_X
    print ("=========================")
    print ("= WELCOME TO CONNECT 4! =")
    print ("=========================\n")
    printBoard(gameState)
    SEARCH_DEPTH = int(input("What is your deep? "))
    print(SEARCH_DEPTH)


    while True:
        while True:
            try:
                move = int(input("What is your move? (Choose from 1 to %d)" % BOARD_SIZE_X))
            except ValueError:
                print ("That wasn't a number! Try again.")
                continue
            if move < 1 or move > BOARD_SIZE_X:
                print ("That is not a valid move. Try again.")
            elif moveHeights[move - 1] == BOARD_SIZE_Y:
                print ("The chosen column is already full. Try again.")
            else:
                break

        moveHeights[move - 1] += 1
        gameState[BOARD_SIZE_Y - moveHeights[move - 1]][move - 1] = opponent
        printBoard(gameState)

        if moveHeights[move - 1] == BOARD_SIZE_Y:
            remainingColumns -= 1
        if remainingColumns == 0:
            gameOver = True
        if gameOver:
            break

        score = checkWin(gameState)
        if score == player:
            winner = player
            break
        elif score == opponent:
            winner = opponent
            break
        else:
            score = 0

        print ("Now it's the computer's turn!")
        move = bestMove(gameState, player, opponent)
        if move == None:
            break

        moveHeights[move] += 1
        gameState[BOARD_SIZE_Y - moveHeights[move]][move] = player
        printBoard(gameState)

        if moveHeights[move] == BOARD_SIZE_Y:
            remainingColumns -= 1
        if remainingColumns == 0:
            gameOver = True
        if gameOver:
            break

        score = checkWin(gameState)
        if score == player:
            winner = player
            break
        elif score == opponent:
            winner = opponent
            break
        else:
            score = 0

    return winner

The line thats giving me trouble is this:

SEARCH_DEPTH = int(input("What is your deep? "))
    print(SEARCH_DEPTH)

What I have tried:

I have already try diferent ways but still with no result. When i run the game it basicaly ignores what i have inserted. I tryed to do a local variable but still i dont get the pretended result.

SEARCH_DEPTH = INT

SEARCH_DEPTH = input("whats is your depth"?)