Renaming all files in a directory changes all filenames in a folder. The new filenames can follow a template or pattern, but each file must have a unique name.

# names in your directory  
import os 
import re
import shutil
  
os.chdir(r'C:\Users\Zeroblog\Desktop\old_folder') 
dest_dir = r"C:\Users\Zeroblog\Desktop\new_folder"
print(os.getcwd()) 

for f in os.listdir(): 
    f_name, f_ext = os.path.splitext(f)
    old_num = re.search('geek(.+?).zeroblog_', f_name)
    new_num = int(old_num.group(1)) + 3 
    new_file_name = re.sub(str(old_num.group(1)), str(new_num).zfill(3), f_name) 
    new_name = '{}{}'.format(new_file_name.strip(), f_ext)
    #os.rename(f, os.path.join(dest_dir, new_name)) 
    shutil.copy(f, os.path.join(dest_dir, new_name))
    print(f, " ... ", os.path.join(dest_dir, new_name))
    
print("done!")