I’d would make a slight correction (I’m bragging and I don’t care.) The Russian SOF may have a lot of AKs but their is more tactical or have a lot of attachments on rather than a average normal AK and also the standard SOF rifle would be AK12, having attachments of a vertical grip, laser, flashlight and a scope from 1.5X to 2.5X. They would be having varieties of gears, primarily they use tear gas into the vents if any hostages were killed, wearing gasmask and enter the building clearing left and right, to try arrest the suspects but if the suspects don’t comply then the SOF has the authority to shoot to kill.
Besides, I don't think SOF even does this kind of operations. This is a task for FSB or MVD but Special Operations Forces usually doesn't do counterterrorism.