What happens to an infringing video if the subsequent lawsuit is dismissed WOP?

Acerthorn

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There's a video that's currently taken down that infringes on my copyright. There's a DMCA Counter-Notice currently pending. I have 10 business days from that date to file a lawsuit.

What would happen to the video if I filed the lawsuit, and then the lawsuit, for whatever reason, was dismissed without prejudice (or WOP for short)? For those who don't know, that means that it isn't a judgment on the merits. The dismissal is usually caused by a (often easily correctible) technical error, and I am allowed to re-file the lawsuit the lawsuit as long as I do so diligently.

What would happen to the infringing video then? Would Youtube put the video back up? Or would it keep the video down while I still have the opportunity to re-file the case?