Well, of course it is the usual money-grubbing PCN we see so often on here, but with her being 4 minutes before the end time, she might struggle with de minimis, I'm afraid. The problem with this argument, is it's subjective, there is no definition of de minimis. It it was a minute or less, you can argue that a car clock can never be accurate to the exact second and there are successful appeals that support this.
Of course you can try it, but you'd be on stronger ground if we can find a procedural impropriety somewhere, but at the moment, I don't see one, the PCN looks OK to me. The video shows her driving boldly into the start of the bus lane and presumably all the way to the end of it, true ?
So wait a bit and see what the others say. If it were me I'd submit reps on a de minimis basis to see what they come back with. As this is a postal PCN under the TMA 2004, they have 56 days to reply.
Other thing to mention is that the council may have published guidance on enforcement that covers this, but you'd have to search around for it. If that acknowledged de minimis, and gave the limit they work to, then you'd be in a stronger position, I think.