If you look at the video put out by the Azerbaijan Defense Ministry and at other photos taken in and around Shusha, it is clear the city has fallen without any need for heavy artillery, rockets or even drone attacks that have otherwise characterized the Nagorno-Karabakh conflict.
For all intents and purposes, the Nagorno-Karabakh war will end in not much more than a week to 10 days and Azerbaijan will retake all or most of the territory it lost to Armenia in 1991-92.
Once Azeri forces took the Lachin corridor and controlled the only road from Armenia into Shusha, the city's fall was certain since without supplies the remaining "army" holding it could not fight.
Part of the reason the road was cut was that a key bridge connecting Armenia to Shusha was knocked out by a precision Israeli missile called LORA (for LOng RAnge). Without the bridge, Armenia could not move supplies or troops in to relieve Shusha, nor could it pull troops out before they were trapped.
Unlike the Russian-supplied missiles and artillery in the hands of the Armenians and Azerbaijanis, none of those weapons were accurate enough to do much more than strike terror into civilian populations. LORA appears to have changed the game in breaking Armenia's defense of Shusha.