Modify a lot of file names

import os

def batch_rename(path):
    count = 0
    total = len(os.listdir(path))
    
    for fname in os.listdir(path):
        time = total - len(str(count))
        Extension = fname.split('.')[-1]
        new_fname = str(0*(time)) + str(count) + '.' + Extension
        print(os.path.join(path, fname), ' New file name >>> ', new_fname)
        os.rename(os.path.join(path, fname), os.path.join(path, new_fname))
        count = count + 1  

path = input("Your data folder location")
# path = './dataset'
batch_rename(str(path))

There is a big issue in this script that if you implement more times, your some files will be covered to remove.
Again and again, and then it will remain few files.

Need to debug this issue...