Iterating Variables...?

[buran]

I would like the instance to be "soldier02" the second time I run the function, then "soldier03," etc.

No, you don't want to go this way. It's anti pattern. You should create multiple instances (soldiers) and store each of these instances in a data structure like list.

very basic example

import random

class Soldier:
    def __init__(self, strength):
        self.strength = strength
    
    def __str__(self):
        return (f'Soldier with strength {self.strength}')

my_army = []
for soldier in range(10):
    my_army.append(Soldier(strength=random.randint(5, 10)))

# print all soldiers in the army    
for soldier in my_army:
    print(soldier)

print()
print(my_army[3]) # print again 4th Soldier

Output:
Soldier with strength 8
Soldier with strength 7
Soldier with strength 5
Soldier with strength 6
Soldier with strength 5
Soldier with strength 10
Soldier with strength 10
Soldier with strength 8
Soldier with strength 5
Soldier with strength 9

Soldier with strength 6
>>>