Adding Inglenook Wye To Timesaver Shunting Puzzle N Scale Layout Design In SCARM Plus Wye Variations

The Timesaver shunting puzzle layout seems fun but it is pretty limited. So I want to add a second element to the layout, a Inglenook Wye. This is also a shunting puzzle but it is more prototypical, The standard Inglenook Wye is a 3-3-5 with 8 cars. This has two short sidings each holding three cars and a longer main siding that holds up to five cars. Plus a header track that hold three cars plus the locomotive. The puzzle usually starts with a random draw showing which 5 cars of the 8 will be shunted into a freight train, or consist, and in what order. You them move the cars into the proper position on the main siding, building the consist from rear to front. The trick is to get that last car onto the main siding first.
Inglenook Wye length equations:
Cars = both short sidings + header track - 1 or Cars = A + B + Header - 1
Long Siding = Cars - Short siding or Long Siding = Cars - A
With:
Cars is the total number of cars used
Short sidings A & B
Header Track
Long Siding
Works better of the two short sidings add up to an even number. If they are not the same length, then you can average them, i.e. a 3-3-5 is the same as a 2-4-5 since the A&B both add up to 6 cars and average 3.