Funzione "IF" non funziona con due variabili python 3

Salve a tutti, stavo facendo un programma che muovesse il mouse in un punto in maniera fluida senza "teletrasportarlo"
Però quando lo avvio mi va sempre in loop nel while:
while bm!=b:
if am <= a:
---while True:
------time.sleep(0.01)
------mouse.position = (am, bm)
------print(am)
------print(a)
------if am==a:
---------bmc
------am=am+1
Non capisco il problema , per favore aiutatemi.

from pynput.mouse import Button, Controller
import time
import random
mouse = Controller()
a=int(0)
b=int(0)
c=int(0)
am=int(0)
bm=int(0)
def bmc():
	while bm!=b: 
		if bm < b:
			while True:
				time.sleep(0.01)	
				mouse.position = (am, bm)	
				bm=abm+1
				print(bm)
		if bm > b:
			while True:
				time.sleep(0.01)	
				mouse.position = (am, bm)	
				bm=abm-1
				print(bm)
while True:
	time.sleep(c)
	c = random.randint(1 ,10)
	a = random.randint(1,1366)	
	b = random.randint(1,768)
	mouse.position = (am, bm)
	while bm!=b: 		
		if am <= a:
			while True:			
				time.sleep(0.01)	
				mouse.position = (am, bm)	
				print(am)
				print(a)
				if am==a:
					bmc
				am=am+1
		if am > a:
			while True:			
				time.sleep(0.01)	
				mouse.position = (am, bm)	
				am=am-1
				print(am)
				if am==a:
					bmc
			
			
	am = a
	bm = b