Water consumption is not directly relatable variable to tree size
Tree size, adaptations, and environmental conditions govern a trees water consumption.
Environmental conditions and adaptations in particular, one reason trees lose water is to cool themselves down in order to photosynthesize efficiently however this is dependent on its adaptations. This is what makes the difference between a cactus and a mangrove.
Quora claims a mature Oak can go through 200 gallons a day
I bothered to do the math:
your tree needs to consume roughly 648,000 gallons of water in a day. Im all for the stretching the limits of biology but that doesn't sound possible for your select biome. That tree would be making clouds like a rainforest.
matter of fact to put this in perspective:
- 1 inch of rain over an acre is equivalent to roughly 27K gallons of water
- an acre of rainforest usually receives roughly more than 100inches of rain a year
your tree needs to consume roughly 30 times what an acre of rainforest can process not even absorb. (bare in mind I intentionally generalized some numbers in there like 100 day years)
The theoretical maximum for a trees height is posed roughly at 125M. This is posed as the theoretical maximum because it is as high as scientists believe a tree can carry water to its top overcoming the force of gravity. This is also close to what redwoods can achieve.
Since I do not have enough the figures necessary to answer this question I will build the equation.
This super tree has not provided a mechanism for overcoming the scientific heath maximum even though height doesn't correlate directly to water consumption. So max height of this tree is roughly 125M.
Water consumption is more closely related to the surface area of the canopy with tie ins to its density. Depending on how diverse it is in photosynthesis. The number needed here is water needed to support 1 sq unit of photosynthesizing canopy assuming trunk and limb water consumption is negligible. This number can be determined by finding the water consumption of a leaf and multiplying that by the possible number of leaves in a sq unit of canopy.
with that number you divide the water needed to consume by it to determine to find your total surface area of canopy which is also related to the ~width~ of your tree.
This tree would probably be like pando having many trunks over acres that look like trees.