Sure, no equations allow for a value of infinity by definition. They can only allow for tending towards infinity. It’s not anything to start an argument over in the first place, it’s just a fact. So no need to worry about that. And it’s not merely an interpretation of the maths that I’m explaining.
The timeline does change when time dilates around particularly large bodies of mass where gravity is very large, and in conditions of very high speeds (as observed by experimentation in both cases) - both of which happened around the theorised singularity referred to as the big bang. Complexity increases as entropy increases as time increases, because more and more states become possible with more equal chances - this is what entropy means according to the information theory that you brought up before. And clearly this is the case since there’s very few states that a singularity can be in (hence the name deriving from the same root as “single”), and all the different states that can occur as it breaks down into the complex universe we see today. So the evidence is that entropy is increasing - it does change, and universally too in the way I just described. Not just locally.
It seems as though your objection, to what observation tells us, is that you think there’s a balance between the ever increasing entropy and some decrease in entropy, which I assume is what you mean to communicate by the black hole example that you brought up in a previous post. Why are you assuming that the starting entropy, before a large enough star collapses into a black hole, is the same as the entropy after black holes form new stars? The mass is all the same, the energy of the systems involved is constant, but none of this means the entropy of the local system or that of the entire universe’s entropy is the same.
Assuming this example is the main reason for your objection, I’m guessing you’re taking the type of creation event being similar to some previous creation event as equivalent to it, when it is not. New stars are neither a reset button nor a fall in entropy to balance any previous rising. Everything is more dispersed as spacetime uncurves due to gravity decreasing in line with the inverse square law as everything moves away from everything else, and pockets of mass and gravity that result in black holes and new stars are likewise more dispersed. As the equation for change in entropy suggests, even with huge clusters of mass and energy reaching temperatures as high or higher than those in the past, the transfer of energy between them and the ever lower temperatures of evermore dispersed matter and energy around it only increases entropy faster. So with less and less collisions forming new stars as time goes on, dispersing energy more and more as things move apart, each new star has higher entropy than what it replaced, and there’s less and less of them as time goes on. The logic matches the observations.
But like you said, you don’t believe that this is true. Would you admit though that you’re not an expert on the concepts about which you have already made up your mind? The only irrational situation here seems to be that you’ve made up your mind already. Both science and philosophy are not about trying to prove yourself right at any cost, but knowing as much as possible about how you could be wrong, and adapting accordingly.