Sum over distinct values Filtered by date

I have a table that follows the idea of something like this:

As you can see, every product is assigned to a category, and every categroy has a budget. For example, 40000 is the budget for the entire shoe category. This budget will change monthly. I simply want to calculate the entire budget as a number, to use it for further calculations, and this should be filtered by month.

Now I cant just sum over the budget monthly, because there are multiple shoe products. I tried the following command which returns a table and the correct value, if I chose to represent it as a column chart, the date filter is applied through another slicer field: 

I would appreciate any help or ideas, not necessarily building upon my total_budget formula.