How might I move away from globals in Python?

In this example, if I swap the commented code out the global variables work correctly. I seem to failing to grok something fundamental about Python here as passing the variables doesn't seem to work correctly.

import random

def roll_die(sides=6):
    return random.randint(1, sides)

# def game():
def game(score_p1,score_p2,rounds):

    # global score_p1
    # global score_p2
    # global rounds
    
    roll_1=roll_die()
    roll_2=roll_die()
    winner=None
    if roll_1 > roll_2:
        score_p1 = score_p1 +1
        score_p2 = score_p2 -1
        winner='player 1'
    if roll_1 < roll_2:
        score_p1 = score_p1 -1
        score_p2 = score_p2 +1
        winner='player 2'
    if roll_1 == roll_2:
        winner='No one'
    print(f'p1 rolled {roll_1} and p2 rolled {roll_2}: Winner is {winner} ')    
    print(score_p1,score_p2)
    rounds = rounds + 1
    # print(score_p1,score_p2, rounds)
    return score_p1,score_p2,rounds

if __name__  == '__main__':
    
    tokens=5
    score_p1=tokens
    score_p2=tokens
    rounds=0

    while True:
        if (score_p1 <= 0) or (score_p2 <= 0):
            print(f'Final Score: {score_p1}:{score_p2} with {rounds} rounds')
            break
        else:
            # game()
            game(score_p1,score_p2,rounds)

Example results I get from the non-global version:

p1 rolled 3 and p2 rolled 1: Winner is Player 1
6 4
p1 rolled 1 and p2 rolled 4: Winner is Player 2
4 6
p1 rolled 5 and p2 rolled 3: Winner is Player 1
6 4
p1 rolled 3 and p2 rolled 1: Winner is Player 1
6 4
p1 rolled 4 and p2 rolled 4: Winner is No one
5 5
p1 rolled 2 and p2 rolled 2: Winner is No one
5 5

...And the game loops forever

source https://stackoverflow.com/questions/70414299/how-might-i-move-away-from-globals-in-python