Pool two vectors together

I have two arrays like below: A from 1 to 4 repeated 8 times, B from 1 to 8 repeated 4 times. I want to shuffle B but with one correlation condition on the final Matrix. I don't want the same B value (lets say 1 1 1 1) to appear in front of more than 3 different A values. To explain this better:

A: 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4B: 1 1 1 1 2 2 2 2 3 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8

Acceptable shuffle

A:          1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4B_shuffled: 8 8 8 8 2 3 2 1 2 1 5 6 4 3 7 1 7 1 7 2 7 5 5 4 6 5 6 6 3 4 3 4

Unacceptable shuffle (because 8 in B appeared in front of A: 1, 2, 3, 4 (more than three times)

A:          1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4B_shuffled: 8 5 7 6 2 3 2 1 2 1 5 8 4 3 7 1 7 1 8 2 7 5 5 4 6 8 6 6 3 4 3 4

import numpy as npA = np.arange(1, 4 + 1,1).tolist()A = np.repeat(np.array(A[::1]), 8).tolist()B = np.arange(1, 8 + 1,1).tolist()B = np.repeat(np.array(B[::1]), 4).tolist()

I used random.shuffle(B) but couldn't figure out how to add distribution logic to it.