So, slightly different, but a bit of theory thinking regarding the paths we've seen in the latest update.
As far as i can see, there are now three different Path's options "Path of Elements", "Path of Entropy" and "Path of Binding"
We've got the most actions regarding Path of Elements followed by Path of Entropy. I suspect that if we do all the Element actions currently, we will unlock or get extremly close to getting a new tower, though it should be noted that one of the action is regarded as "dangerous"
In regards to what each Path could be.
I suspect that Path of Elements is the Mountain Tower one of the nine starting tower we could choose between, and one of the Three Divination line towers. It's a tower that's speclilized in controlling the elements. Overall, given what we can see from the First Works threadmark, most of it's benefits is relatively straightforward.
Path of Binding we only have one action for, but given it's clear empisis on punishing evil with evil, i suspect this is the path towards the Tower of Chains. A tower that gives form to evil and then uses that against evil. Fighting fire with fire. This is also one of the nine starting tower, and of the Theurgy line. It should be noted that, in order to gain second circle Theurgy mastery, we do probaly need another tower, so if we want to have smarter minions, this is the most obvious way forward.
Finally, there is Path of Entrophy. Looking over the starting tower, i don't think there's any that's a full match for this one, with the closest being Purification, but one that doesn't quite fit. I'm therfor, of the belief that this is a tower not from the Thrice-Great Progenitor, and thus not something we can ever find from dungeon/ruin actions on Cradle. This is probaly the result of the massive use of Entropy in order to prevent the Second doom, something that may have been unthinkable for the Thrice-Great Progenitor.
Guessing, this is probaly tower around the idea of using decay in order to bring ruin to the Order's enemies, and maybe even a reversal of it, in order to benefit the Order. Enemies tools breaking quicker, as the order's last far longer then they should. This would probaly fit into either Alchemy brance of tower which is the towers that affects the circles and changes of the universe(living Tower being the current one), assuming it's not it's own seperate branch, which is probaly something like "destruction - Removing the natural laws of the universe".
The more important part, regarding this is the Storm choice. There is one to Path of Entropy, by destroying all storm's, essentially removing storm's as a concept from Cradle, and potentially further, or Path of Elements, by purify them, by letting them become back to their natural state.
I suspect, that if we fully want either tower, we need to comit to a branch before we start. So we either go all in on Entropy, or we go all in on Elements. Elements carry the benefit of the fact that we can probaly know what we will get out of it, while Entropy may be a new, fully untread path alltogether.
Should be noted, that Entrophy want us to destroy the ruins, so that's a drawback, just a question if the Tower of End's would be worth it. I'm currently leaning towards Elements, simply because i do want us to use the storm's, not remove them entierly, but whatever path we choose, it's one we have to comit to, that i fully believe at the very least.
(All things said, i do not expect entropy to win this, with both ruins and storm needing to be destroyed in order to empower it. But, depending on what insight we may gain, there may be power found in destroying the ruins and storm's for power.
The Philosophers found gain in the decayed pieces of the mundanes. What will they find by casting aside their own past and Cradle's winds. Something to be said in that, for good and ill)