Ok but in this case you wont need to heat your solvent anyways, as it will be instantly at room temperature upon the mixture with your soup.
Sadly the solubility of your goodies is pretty low at room temperature ...
Do you already have any results?
If the yield is very low, then this was probably the problem.
Also: That is a fairly huge amount, I know its easier to do just 1 big extraction instead of 5 tiny ones, but it also makes the whole process a little bit more complicated and harder to fix problems.
To make it easier, you could reduce it further. Then you can also heat up the soup more easily.
If everything works out the way you are doing, you should still only get a very tiny amount of yield each pull as the volume of Soup is still really high and your pulling solvent will not be warm at all while extracting.
So if you're not already done, then check the yield and if it is pretty low, then this may be a point to improve.
Also big extractions tend to be a little less effective, as you will always loose more inbetween steps, so maybe a 3 kg extraction will not grant you 30 g Spice, but more likely 25 or even only 20. That may also be a point to consider, if you think your yield is kind of low.