Hangman Game - Unable to match input letters to word if the inputted letter sequence is jumbled

Below is an outline of what I am trying to built:

1. getting input from user about word length
2. sourcing word from text file according to user input word length
3. getting number of attempts from user input
4. display the word as *
5. Get hint letter input from user

6. Run the game

   • start by displaying the word in *
   • display the number of attempts remaining
   • prompt to input next letter
     • if input matches to the word
       • print "you guessed correct letter"
       • replace * from the word in the letter at appropriate space and print
       • print number of attempts remaining
       • print guessed letter
       • prompt to input next letter *this goes on until all the correct letter of the owrd has been guessed
       • print "You Won"
     • if input does not match to the word
       • print " you guessed wrong letter"
       • print the word in *
       • print number of attempts remaining
       • print guessed letter
       • prompt to input next letter *this goes on until remaining attepmt is 0
       • print "you lose"
     • if number of attempts is 0
       • print "no attempt left"
       • Print the correct word

The code is working only if the inputted letters are constant.

Let's say if the game word is "Rain", the code will work only if user inputs: "R", "A", "I", "N".

Code will not work if the inputted letters are jumbled, like, "A", R", "I", "N".

I believe it can be achieved through iteration using enumerate, but I am not sure how.

Here is my code:

import random

WORDS = "wordlist.txt"

"""Getting Length input from user and selecting random word from textfile"""
def get_word_length_attempt():
    max_word_length = int(input("Provide max length of word [4-16]: "))
    current_word = 0
    word_processed = 0
    with open(WORDS, 'r') as f:
        for word in f:
            if '(' in word or ')' in word:
                continue
            word = word.strip().lower()
            if len(word) > max_word_length:
                continue
            if len(word) < 4:
                continue
            word_processed += 1
            if random.randint(1, word_processed) == 1:
                current_word = word
        return current_word


"""Getting input of number of attempts player wants to have"""
def get_num_attepmts():
    num_attempt = int(input("Provide number of attempts you want: "))
    return num_attempt

"""Displaying word in *"""
def display_word_as_secret():
    display_word = '*' * len(get_word_length_attempt())
    print(display_word)

"""Getting hint letter from user input"""
def get_user_letter():
    user_letter = input("Enter letter: ").lower()
    if len(user_letter) != 1:
        print("Please Enter single letter")
    else:
        return user_letter

"""Starting Game"""
def start_game():
    game_word = get_word_length_attempt()
    attempts_remaining = get_num_attepmts()
    print('Your Game Word: ' + game_word)
    print('Your Game Word: ' + '*'*len(game_word))
    print('Attempts Remaining: ' + str(attempts_remaining))
    guessed_word = []

    while attempts_remaining > 0:
        next_letter = get_user_letter()
        if next_letter in game_word:
            print('You guessed correct')
            guessed_word.append(next_letter)
            print('Your Game Word: ' + game_word)
            print('Your Game Word: ' + '*' * len(game_word))
            print('Attempts Remaining: ' + str(attempts_remaining))
            correct_word = "".join(guessed_word)
            print(guessed_word)
            if correct_word == game_word:
                print('you won')
                break
        else:
            print('The letter in not in the game word')
            attempts_remaining -= 1
            print('Your Game Word: ' + game_word)
            print('Your Game Word: ' + '*' * len(game_word))
            print('Attempts Remaining: ' + str(attempts_remaining))

    else:
        print('no attempts left')
        print('You Lost')
        print('The Word is: ' + game_word)


start_game()