if statement doesn't recognize str correctly [duplicate]

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• How to test multiple variables against a value? 19 answers

I'm still new to Python and am right now building the general get-into-it guessing game. I've tried to include a question for the user if they wish to continue, but sadly it does not seem to recognize my set answers.

def game():
    numofguesses = 0
    number = 10

    while numofguesses < 5:
        guess = int(input("Enter a number: "))
        numofguesses = numofguesses + 1

        if guess < number:
            print("Higher")
        elif guess > number:
            print("Lower")
        elif guess == number:
            break

    if guess == number:
        print("You've won in " + str(numofguesses) + " guesses.")
    else:
        print("The correct number was " + str(number) + " and sadly you didnt get it!")

print("Hello, this game lets you guess a random number!")
go_again = True

while go_again:
    game()
    again = input("Do you want to play again? Y/N: ")
    if again == "y" or "Y":
        go_again = True
    elif again == "n" or "N":
        go_again = False
    else: 
        print("unknown entry.")

It works fine when I want to continue and enter "y", but even if I want to quit and enter "n", I get the same result, the program continues.

Hello, this game lets you guess a random number!
Enter a number: 10
You've won in 1 guesses.
Do you want to play again? Y/N: y
Enter a number: 10
You've won in 1 guesses.
Do you want to play again? Y/N: n
Enter a number: 10
You've won in 1 guesses.
Do you want to play again? Y/N:

I think I'm missing something super easy, but can't for the life of me figure out what it is.

Thanks a lot in advance for any help!

Greetings