Let's start by debunking some of the fallacies here that would actually make Tarachs warfare look more like human warfare than you might think.
First, Tarachs won't bother to use their own poisons against each other because venomous animals are immune to their own poisons. Since these tribes are presumably the same species, they will have to rely on killing each other the old fashioned ways (stabbing, hacking, bashing, etc.) If they use poisons, it will be poisons that they must harvest from other sources meaning, that the prevalence of toxic weapon used by the Tarachs will be about the same as in a human arsonal.
Also, Tarachs won't bother to rely on using webs on eachother. While it would make since for these spiders to surround their villages with webs for defense against predators, against other spiders, this is a minor deterrent at best. Spider webs are made of a combination of sticky and not-sticky strands. Spiders can walk on their own webs because they can tell which is which. The webs that defend a village would be designed so that the inhabitants could safely come and go meaning that other spiders could also identify these safe passages that predators could not. Also, spiders can eat web; so, even if you completely wall yourself off, an enemy could just eat their way in while the defenders sleep. This means that they will need to develop a webless method of defending their village to protect against other tribes.
Now let's look at the traits that do in fact make them different:
Since flying species are the dominant races here, Tarach's biggest threat would come from the sky meaning they would likely not prefer the giant trees as a place to live. Instead they would build their homes and hunting grounds in the underbrush, outside of the view of the giant birds who in turn hunt them. The downside is that if they live on the ground surrounded by dense plants for cover, then other spiders could attack from any direction. City Walls would not work like they do for people because an invader could just shoot some webs and climb them. Instead, the most logical style of fortification for them is the ant pile.
Using web as mortar to hold together stonework, other spiders could not get their mouths between the massony to eat the web away making such fortifications a highly defensible against other spiders. Since this is tribal aged warfare, the other spiders would not have any siege equipment to break the stone walls either, this means the defender can limit access to their mound to one or two highly defensible entrances. When spiders enter another tribe's mound, they'd have to expect heavy casualties. As they march in single file, they'd be immediately surrounded on all sides meaning an invasion would require a significant numerical advantage.
Instead most battles would be waged in the open field. Since spiders need to hunt to live, an attacker only needs to crowd out the defender's hunting ground, killing their hunters in the open. This would force the defender to rally as an army to keep themselves from being picked off one by one which would also force the attacker to rally as an army. Actual battle tactics will likely look a lot like those of honey ants (which were ironically the basis of many human tactics used in ancient warfare.)
In the end, warfare for your tribal Tarachs will be a lot like human warfare. They will likely design different styles of weapons and armor to accommodate their extra appendages, and maybe adopt more strategies that rely on the 3d nature of their battlefields with more thought given to attacks from above or below, but in the end, their wars will still be very familiar to us.