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You clock out what you want and latch it. You only need 4 pins
I did this before I saw your schematic. Please do it this way. Use the Swordfish SHIFT module.
ALL of the LEDs, including the 7-segment displays should be operated from the same data stream, clock and latch lines. Set up an array of bytes equal to the number of 74595s. When the display is to be updated, update the needed array elements and shift out ALL of the data then pulse the latch high.
The output enable pins may be used to dim the displays. I have separated the clock LEDs from the display LEDs so each section can be controlled independently.
You have a high chance of success using this circuit and it will be easy to route.
View attachment 147945