while loop is not breaking out in python

I am trying to built number guessing game. I created a game() function that first lets you pick difficulty level and according to the level loops through in that amount and asks for users to guess. My problem here is getting out of the loop. I created a boolean named is_continue, set it to True, and wanted to use it whenever it needs to be broken out of the loop (which are when you guessed the right number and when you want to end the game), but not only is it not breaking out of the loop but also it keeps re-looping even though the range amount is completed.

from random import randint
from replit import clear

value = randint(1, 100)

def compare(guess, value):
  if guess > value:
    print("Too high.")
  elif guess < value:
    print("Too low.")  
  else:
    print(f"You got it! The answer was {value}")

def game(): 
  print("Welcome to the number guessing game.")
  print("I am thinking of a number between 1 and 100.")
  difficulty_level = input("Choose a difficulty. Type 'easy' or 'hard'.")
  is_continue = False
  while not is_continue:
    if difficulty_level == "easy":
      e_attempt = 10
      for x in range (10):
        print (f"You have {e_attempt} attempts.")
        e_attempt -= 1
        guess = int(input("Guess a number?"))
        compare(guess, value)
        if guess == value: 
          is_continue = True
        if x == 9:
          print("You've run out of guess. You lose.")
          if input("Type 'c' to continue and 'e' to end.") == "c":
            clear()
            game()
          else:
            # I put print function to check weather else statement is working.
            print("else statement has been read.")
            is_continue = True
            
    elif difficulty_level == "hard":
      h_attempt = 5
      for x in range (5):
        print (f"You have {h_attempt} attempts.")
        h_attempt -= 1
        guess = int(input("Guess a number?"))
        compare(guess, value)
        if guess == value:
          is_continue = True
        if x == 4:         
          print("You've run out of guess. You lose.")
          if input("Type 'c' to continue and 'e' to end.") == "c":
            clear()
            game()
          else:
            clear()
  clear()
       
game()