Python: Permutate 2 Lists Simultaneously Until Requirement is Met - list

Question

To Begin, I am using two lists and adding them to the "mask" to get the new lists we will be permutating.
list1 = [1,0,1]
| | | |
v v v v
mask = [2,1,2]
new_list1 = [3,1,3]
list2 = [0,1,0]
| | | |
v v v v
mask = [2,1,2]
new_list2 = [2,2,2]
So, next is permutating new_list1 and new_list2 until they equal the original list1 and list2.
1 Create a set of "rules" that resemble subtracting the "mask".
2 Permutate new_list1 and new_list2.
3 Pass the permutated new lists through the set of "rules".
4 If the new_list1 and new_list2 are equal to list1 and list2, STOP
Else: Continue
This is how I could do the one list alone, however, I am trying to do both new_list1 and new_list2 at the same time.
from itertools import permutations
from itertools import zip_longest
list1 = [1,0,1]
list2 = [0,1,0]
mask = [2,1,2]
new_list1 = [3,1,3]
new_list2 = [2,2,2]
rules = {(2,3):1,(2,2):0,(1,3):2,(2,1):-1,(1,1):0,(1,2):1}
repeat = 1
while repeat == 1:
perm = list(permutations(new_list1))
for i in perm:
guess = [rules[pair] for pair in zip(mask,new_list1)]
if guess == list1:
repeat = 0
break
print("Guess:",guess)
OUTPUT: Guess: [1,0,1]
Is there a way I can permutate new_list1 and new_list2 together until they are both true?
from itertools import permutations
list1 = [1,0,1]
list2 = [0,1,0]
mask = [2,1,2]
new_list1 = [3,1,3]
new_list2 = [2,2,2]
combined = [[1,0,1],[0,1,0]]
rules = {(2,3):1,(2,2):0,(1,3):2,(2,1):-1,(1,1):0,(1,2):1}
repeat = 1
while repeat == 1:
perm = list(permutations(new_list1, new_list2))
for i in perm:
guess_combined = []
guess = [rules[pair] for pair in zip(mask,new_list1)]
guess_2 = [rules[pair] for pair in zip(mask,new_list2)]
guess_combined.append(guess,guess_2)
if guess_combined == combined:
repeat = 0
break
print("Guess:",guess)
This is my attemp, however, it gives Error:
11 repeat = 1
12 while repeat == 1:
---> 13 perm = list(permutations(new_list1, new_list2))
14 for i in perm:
15 guess_combined = []
TypeError: Expected int as r