How to capitalize specific dollar amount where there are multiple capitalizations on one project

We are implementing the Projects - FA functionality and I am struggling to come up with a solution to what is functionally a simple situation. I would greatly appreciate any thoughts on a solution and I am OK with a client extension if that is what is required.

We capture costs across multiple tasks in Projects and those costs will be assigned to multiple assets. Assets are built and placed in service progressively through the life of the project. Using a simple example, a project is expected to create 30 assets. There is a budget entered for this project but I don't currently see that as providing a piece of the solution. Also, costs are constantly coming in across all tasks. So this project builds 5 assets with an assigned cost of $10k each and are placed into service in January, 10 assets with an assigned cost of $9k each are placed