Backwards Number Guessing Game in Python

import random

def game_loop():
    high_num = 25
    low_num = 1
    guess_count = []

    #Ask the user for their number
    secret_num = int(input("What would you like the secret number to be? (1-25)"))

    #Have computer guess a number
    while True:
        computer_guess = random.randint(low_num, high_num)

        #Make sure computer does not guess the same number twice
        if computer_guess in guess_count:
            computer_guess = random.randint(low_num, high_num)
            break

        #Tell computer if its number is too high/low
        if computer_guess > secret_num:
            high_num = computer_guess
            guess_count.append(computer_guess)
            print("{} is too high!".format(computer_guess))
        elif computer_guess < secret_num:
            low_num = computer_guess
            guess_count.append(computer_guess)
            print("{} is too low".format(computer_guess))
        else:
            guess_count.append(computer_guess)
            print("The computer guessed your secret number {} in {} guesses!".format(secret_num, len(guess_count)))
            play_again = input("Whould you like to play again? (Y/N) ")
            if play_again.lower() == "y":
                game_loop()
            else:
                quit()

    #Play again?
game_loop()