Multisource Ground Fault for MTTTTTTM Switchgear

One of my projects which I am currently working on has 2 interconnected switchgears with 2 mains and 6 tie breakers. This is the first time I have come across such a complex switchgear arrangement and I need help in getting some information on ground fault protection looping.

Switchgear-1,

Main1-4000A

Tie1 -4000A

Tie2 -4000A

Tie3 -3200A

Feeders in between Main-1 and Tie-1.

Tie -1 and 2 are in series without any feeders in between.

feeders in between Tie 2 and tie 3

Switchgear-2,

Main2-4000A

Tie1 -4000A

Tie2 -4000A

Tie3 -3200A

Feeders in between Main-2 and Tie-1.

Tie -1 and 2 are in series without any feeders in between.

feeders in between Tie 2 and tie 3

The Gears are 4Wire 480V Job required with Ground Fault protection.

Since we don't have a new design right now, I have used a design with reference from Multisource Ground Fault Looping using Summation CTs for Main Tie Tie Main Scheme.

Basically, all of the summation CTs on the ties are wired directly in series with each other.

But there is a problem. Due to any of the open Tie Breakers, at least a couple of the summation CTs will not see the fault and resist current flow in the remaining CTs.

Also I have not used Auxiliary CTs in this arrangement for the above consideration.

Can you please help me out in getting information on such Switchgear Arrangement?

I will share hand sketch of the design once I get ample information.

If any other information is required, please write it in the comment section.