What's the general consensus on taking antibiotics while dealing with LC?

I feel like I might need to take antibiotics because I've been coughing up mucus for a while now, and it's sometimes greenish yellow. When I first got covid in December 2022, I took antibiotics after the acute sickness (due to a lingering sinus infection) and my LC symptoms really started right after that. Am I crazy for thinking that taking antibiotics might've "given me" LC? I've read various things on this sub about the virus being able to replicate in the gut, and if your microbiome is compromised due to antibiotic use, it might make a more favorable environment for covid. Basically I'm just scared to death that if there's any viral persistence in me, taking antibiotics again might knock me down even further and erase the progress I've made. Is my fear unreasonable or does this make sense?