Some may survive, we will be a well rounded fucked tho

I wouldn't say we would be totally fucked, our population has survived some shitty situations with even less tech then we have now (the plague killed like 25% of the human population, thats the worst I can think of at the moment), I think up to maybe 70% of the population being killed is recoverable, especially considering our levels of tech nowadays.

In the absolute worse case scenario, I'd imagine we'd go underground, and bring as many animals and plants and whatever with us as we can so we can maybe still save their species. So then fourth we will probably just live underground while we try to un-fuck the planet and make it habitable again, maybe we will have better genetics stuff by then and will be able to bring a bunch of species back to life even when we return above ground.