I watched the Joe Rogan Josh Rogin clip you linked to. It's very interesting. But what Rogin says is that Fauci "found a way to turn gain-of-function research back on". He doesn't say that Fauci did anything covertly. He's describing effective bureaucratic maneuvering, which Fauci must be good at. He couldn't have stayed in his job for decades otherwise.
"Covert" means something very different, for example if he had taken money that was assigned to different research, funneled it to gain-of-function labs, and then falsified reports about how the money was spent. Some outrageous scenario like that is what you're implying with that word. Rogin implies nothing of the sort. Actually, from the facts in the OP article, which are drawn from public reports, it's clear Fauci got what he wanted overtly. That's how effective bureaucrats get things done.
By overstating the claim, you distracted from the significant thing, which is that Fauci was a major funder of gain-of-function research and, in the dispute between virologists about whether it was too risky or not, was strongly on the side that advocated for it. The other side managed to get the research shut down for a while, and then Fauci managed to get it turned back on. There's no suggestion or evidence that he did so in bad faith, as Rogin is careful to point out. But it does mean that he has a conflict of interest in dismissing the lab leak hypothesis, just like Daszak does. That's already a very strong point, and a lot for people to take. If you say that it was "covert" on top of that, you're acting like the very conspiracy theorist they want to tell everyone you are, and helpfully providing them with a bit that is easily debunked.
I'm sorry, but I've been digging and I just don't see any major justification here. I'm sure there's subtlety, but there's just no one in the research world coming out to say this. There are no accusations being made. There's no memo with his name on it. There's no specific study cited that he pushed. There's nothing. No one is covering this.
This is just the next conspiracy theory, isn't it? It's not falsifiable, so everyone is going to believe it anyway. This is how we got Q. You're doing it again.