I'd still be careful. Alcohol induces apap toxicity by inducing the cyp enzymes that metabolize apap into napqi (a super reactive fucker that attacks cysteines in liver proteins causing the toxicity, cyp2e1 and cyp3a4 to be exact). This lowers the dose where apap is toxic (it normally gets metabolized by glucuronidation and sulfation, until the enzymes get backlogged).
Since bdo is metabolized by the same route (ALDH) we don't know that it doesn't induce cyp enzymes over long term use, so I'd be careful combining the two over time.
Ethanol is a famously dirty drug, so odds are there isn't any cause for panic, but I would personally avoid taking too much apap on it (even a gram of apap on a virgin liver is enough to induce markers of damage).