The convergence conjecture for the triplet $(10,12,8)_+$

For a positive integer $n\geq 1$, consider the process that removes the trailing zero when $n$ is a multiple of $10$, and otherwise multiplies $n$ by $6$, adds $4$ times its last digit, and divides the result by $5$.

Convergence conjecture for $(10,12,8)_+$. Repeating this process indefinitely, every starting number eventually reaches $4$ after finitely many iterations.

The paper presents this as a generalization of the classical Collatz conjecture for the triplet $(10,12,8)_+$. Its resolution is not supplied in the source.