These Ha'tak vessel look like all other known Ha'taks. It differs only in terms of technology, specifically weapons and shields which were suspected to be upgraded using the limited Ancient technology to which Anubis has access to, thanks to his half-ascended nature. Its weapons, shields, and other systems have been upgraded by Asgard technology. It further had Asgard transporters and hologram technology.
Ba'al's first Ha'tak was part of the United Alliance of System Lords fleet and was used to attack Anubis' mothership in the atmosphere of the planet Langara. It was able to cut through the motherships shields as the atmosphere depleted the shields to 40%. Anubis' mothership was destroyed but Anubis managed to escape in his escape pod. (SG1: "Homecoming")
In 2005, Ba'al's Ha'tak was used as the flagship for his fleet durning the Battle of Dakara. After the activation of the Dakara superweapon, Bra'tac and other Rebel Jaffa ringed aboard and killed Ba'al's Kull warriors but Ba'al was able to beam away before Bra'tac could kill him. The ship then fell into the hands of the Free Jaffa Nation. (SG1: "Reckoning, Part 2")
In 2006, a Ba'al clone used his Ha'tak to capture members of the Jaffa High Council and used brainwashing technology on them in an attempt to gain access to the Dakara superweapon. After capturing Teal'c, Bra'tac, the rest of SG-1 and several SG teams attacked P2M-903, where the Ha'tak was parked. After Bra'tac's Al'kesh was shot down by Death Gliders, he was taken to the Ha'tak. Lt. Colonel Cameron Mitchell was able to ring to the ship and help Bra'tac and Teal'c escape before the ship entered hyperspace. (SG1: "Stronghold")
Later that year, another Ba'al clone used his Ha'tak to steal several Stargates across the galaxy with the purpose of creating his own private network. However, Major General Henry Landry managed to plant a locator beacon on Nerus and track him to the location of the ship. Dr. Bill Lee was able to implant a computer virus into Nerus' devices that lowered the ship's shields and allowed SG-1 to beam aboard the ship and place locator beacons on the Stargates. They were then beamed aboard the Odyssey and likely returned to their planets of origin. During this, Ba'al's Ha'tak was attacked by three Lucian Alliance Ha'taks, and was subsequently destroyed when the shields failed. (SG1: "Off the Grid")
In 2007, Ba'al used another Ha'tak to beam his Jaffa down to a planet where SG-1 was capturing Adria. They took Adria and beamed back up to the Ha'tak, which then jumped into hyperspace. Ba'al implanted Adria with a symbiote clone of himself to control her and by extension her armies. However, the Odyssey had tracked them by scanning for the electromagnetic field frequency that Ba'al was using to disable Adria's powers. SG-1 beamed in and retrieved Adria, killing Ba'al in the process, but the symbiote had already blended with her. (SG1: "Dominion")