No, the point was to keep Rand alive and kicking, and free to fight the Shadow in a future date. Killing Rand wouldn't have led to a different result from letting the Shadow have him.

But they didn't go to Baerlon to destroy the inn. That was the work of the Shadow.
By your insane logic, anyone can decide their action is worthy only if they had seen all possible outcomes, which is ridiculous.

For whatever reason, they entered Baerlon, and had to rush out. That in the process, an Inn got burned down is the price they have to pay to keep Rand, Mat and Perrin from the hands of the Shadow. And since the fate of the world depends on that, this sacrifice was a must. And hence it was a price worth paying.

What does that even mean? They never chose to be found. They never chose to want to rush away. Circumstances forced these things on them!

Stupid straw man again, eh? Tell me this... why is that particular sandwich so important?
After all, context matters. Lan talks of sacrifices and prices to be payed with respect to saving the life of the savior of the world. How does a measly sandwich compare?

Why couldn't he buy it back? Or negotiate for it? Neither of these are options with the Shadow, but the same is not the case between two guys fighting over a sandwich.

But that is total nonsense. Why did he have to sacrifice their lives? Why not, as I said, buy the sandwich, or have another sandwich? Till you can show me a scenario where a war over a sandwich is the only option, your arguments will continue to remain total balderdash.

Lan could find another Dragon Reborn? Or buy him from the Shadow?

The worthiness of the payment says nothing about Gods. That is an extension of Lan's argument, in a direction I'm fairly certain he would disagree with.