Bachman–Bao–Wu's coefficient-solubility conjecture for ternary cyclotomic polynomials

For an odd prime $p$, define

$$M(p)\coloneqq\max_{q,r} A(pqr),$$

where $q$ and $r$ range over primes. Bachman–Bao–Wu's conjecture. For every odd prime $p$ and every integer $h$ with $1\le h\le M(p)$, the equation

$$A(pqr)=h$$

is soluble for arbitrarily large primes $q$ and $r$. This conjecture predicts that every coefficient value up to the maximum attainable value for a fixed odd prime $p$ occurs for arbitrarily large choices of the other two primes. The supplied text gives no resolution, so the conjecture is open.