A power Diophantine equation $(p+q)^n-p^n-q^n+1=m^{p-q}$

Question

Suppose $p$ and $q$ are prime numbers, $n>1$ and $m>1$ are positive integers. Solve the following Diophantine equation:$$(p+q)^n-p^n-q^n+1=m^{p-q}$$I made this problem and I was trying to find $p$ and $q$ first. Looking mod $p$, $q$ and $p+q$ gives$$m^{p-q} \equiv 1 \pmod {pq(p+q)}$$Does this provide useful information about $p$ and $q$?