In order to heal the Republic's strength, exhausted by the prolonged and bogged down Clone Wars, the Senate desires the ultimate weapon of destruction. To ensure the unconditional surrender of the enemy and absolute victory. In principle, the senators wanted a quick end to the war, but in reality, they were happy to take advantage of the inability to end it easily, taking bribes from the arms industry, whether friend or foe.
At the same time as the development of the great balancing game of clone wars, the arms industry was enriched by many advanced technologies. With it, many jobs are created on various planets.
Under these circumstances, the Jedi who are responsible for integration and operational planning have been struggling. No matter how much advanced weaponry they used on the clone troopers, the CIS had no choice but to use the same kind of weaponry on the droids.
So the idea was born to develop the ultimate weapon in secret, unbeknownst to the CIS, so that the war could end with its completion. This could be considered the origin of the Death Star.
When Palpatine heard about this from Yoda, he used his emergency powers to raise the budget. So he uses the blueprints he receives from Tyranus.
Unlike in the past, Sidious did not tell Tyranus about this, because it was too big a project. He thought it was too big of a project to be of any use.
In the future, it will be used as an imperial superweapon after the Clone War comes to fruition as a victory for the Republic.
If the plan is foiled, the Jedi will take control of all power in the galaxy, and this is a way to fabricate that the construction of the Death Star was part of the Jedi conspiracy. It would mean that they had hidden weapons of destruction, just like the Clone Army. The scenario is that the Jedi who controlled the Clone Wars behind the scenes had a symbol of fear hidden away for post-war galactic governance. I would not worry about the Jedi using it, as it was made up when it was not yet completed.
Either way, it shows that the Jedi had no intention of using it in a real battle in the Clone Wars. No matter how powerful the weapon was, the Clone Wars would not end, but if the Death Star were to surface, the Republic's victory would be decisive and Sidious' plans to prolong the war would be hindered. However, the Republic was not strong enough to prolong the war until it was completed. So Palpatine did not need to use the Death Star to end the Clone Wars.
Tarkin and Vader understood this. Translated with www.DeepL.com/Translator (free version)