ROCK PAPER SCISSOR GAME IN PYTHON

import random
print('Winning rules of the game ROCK PAPER SCISSORS are :\n'
      + "Rock vs Paper -> Paper wins \n"
      + "Rock vs Scissors -> Rock wins \n"
      + "Paper vs Scissors -> Scissor wins \n")
while True:
    print("Enter your choice \n 1 - Rock \n 2 - Paper \n 3 - Scissors \n")
    choice = int(input("Enter your choice :"))
    while choice > 3 or choice < 1:
        choice = int(input('Enter a valid choice please '))
    if choice == 1:
        choice_name = 'Rock'
    elif choice == 2:
        choice_name = 'Paper'
    else:
        choice_name = 'Scissors'
    print('User choice is \n', choice_name)
    print('Now its Computers Turn....')
    comp_choice = random.randint(1, 3)
    while comp_choice == choice:
        comp_choice = random.randint(1, 3)
    if comp_choice == 1:
        comp_choice_name = 'rocK'
    elif comp_choice == 2:
        comp_choice_name = 'papeR'
    else:
        comp_choice_name = 'scissoR'
    print("Computer choice is \n", comp_choice_name)
    print(choice_name, 'Vs', comp_choice_name)
    # we need to check of a draw
    if choice == comp_choice:
        print('Its a Draw', end="")
        result = "DRAW"
    # condition for winning
    if (choice == 1 and comp_choice == 2):
        print('paper wins =>', end="")
        result = 'papeR'
    elif (choice == 2 and comp_choice == 1):
        print('paper wins =>', end="")
        result = 'Paper'
    if (choice == 1 and comp_choice == 3):
        print('Rock wins =>\n', end="")
        result = 'Rock'
    elif (choice == 3 and comp_choice == 1):
        print('Rock wins =>\n', end="")
        result = 'rocK'
    if (choice == 2 and comp_choice == 3):
        print('Scissors wins =>', end="")
        result = 'scissoR'
    elif (choice == 3 and comp_choice == 2):
        print('Scissors wins =>', end="")
        result = 'Rock'
    if result == 'DRAW':
        print("<== Its a tie ==>")
    if result == choice_name:
        print("<== User wins ==>")
    else:
        print("<== Computer wins ==>")
    print("Do you want to play again? (Y/N)")
    ans=input()
    if ans == 'n':
        break
print("thanks for playing")