We know enough to make a good guess at the Touring battery. We know that the Dream and GT has 6600 cells with 22 modules (300 cells in each module). We also know that the battery is made of 30 parallel strings of 220 cells. To keep the same 924 volt system, the Touring battery will need to be a multiple of 220 cells. We also know that the four modules in the rear seat foot well are removed in the Touring and Pure. 18 modules with 300 cells (5400 cells) is not divisible by 220. Hence, another 120 cells must be removed giving 24 parallel strings of 220 cells (5280 cells).
We think the battery in the Dream is Samsung and the battery in the GT is LG Chem and that the Touring and Pure will follow the GT. Hence using the GT's 112 kWhr pack and scaling by 5280/6600 gives the Touring 89.6 kWhr. Now Lucid could adjust that up or down with software to adjust the buffer.
Lucid is advertising the same estimated EPA range for both the Pure and Touring so with no front engine and better efficiency because of no front engine, maybe the Pure will have a smaller battery and the same range. Maybe the Pure will have more range than the Touring and the same battery?