I think this does not solve the problem, but makes it worse. As I see it, an infinite time can never end, precisely because if it ends it would have an end, i.e., it would not be infinite.

We're never going to reach the end of the beginning of the infinite time. It's just a concept, just like the sum of infinites or a Zenonian progression, that's why I said it is logically conceivable. To resolve that paradox, for example, you need to take into account that the size of the set of infinite present times is also infinite, it's just that today can't be the last moment, there are infinite present times. This makes more sense in the context of the tenseless theory of time, where there's no difference between the past, present and future. This issue is more complicated than it looks and the paradox you're raising is well known. Bear in mind that a finite time also creates counter-intuitive situations. For example, what was there before the beginning?

Thank you for your attention. I will take the video into consideration.

Sure, I'm glad you're interested in the topic. If you want to hear it from leading physicists and philosophers instead of me, then you should watch it.