From Lara's words, the final word in such a deal wasn't in her hands, but elders. So, he had to wait for the upcoming meeting with them, before he'd finalise his plans about this weapon.
To not let himself get stuck with this, he decided to adapt another solution. It wasn't a strong weapon like what he intended to make, but it was enough to cause trouble to the enemies they were going to face later on.
William didn't stay up for long. He already had another idea that didn't require lots of special materials. All the materials could be found in this tiny world, but he had to add little touches to make sure things wouldn't go astray.
The next day he fetched one of the team to purchase the materials he needed. He didn't risk going out himself or send his vices whose faces were known by now to the forces in the city.