Surprisingly good.

import os
import subprocess
import time

# Target click coordinates
folder_x, folder_y = 1821, 65
search_x, search_y = 1661, 169

# Get current cursor position
result = subprocess.run(["xdotool", "getmouselocation", "--shell"], capture_output=True, text=True)
lines = result.stdout.splitlines()
orig_x = int([l for l in lines if l.startswith("X=")][0].split("=")[1])
orig_y = int([l for l in lines if l.startswith("Y=")][0].split("=")[1])

# Click folder
os.system(f"xdotool mousemove --sync {folder_x} {folder_y}")
os.system("xdotool mousedown 1")
time.sleep(0.05) # hold for 1/4 second
os.system("xdotool mouseup 1")

# Wait for popup to process click
time.sleep(0.25) # keep 0.2s to ensure focus

# Click search bar
os.system(f"xdotool mousemove --sync {search_x} {search_y}")
os.system("xdotool mousedown 1")
os.system("xdotool mouseup 1")

# Minimal pause before restoring cursor
time.sleep(0.05)

# Restore original cursor position
os.system(f"xdotool mousemove --sync {orig_x} {orig_y}")


This can be used for AutoKey.