How to flatten this rank 4 array to a rank 2 array?

[cqn-brwpna9]

How would one make the array:

 1 0 1  1 0 1  1 0 1  
 0 1 0  0 1 0  0 1 0  
 1 0 1  1 0 1  1 0 1  
                       
 0 1 0  1 0 1  0 1 0  
 1 0 1  0 1 0  1 0 1  
 0 1 0  1 0 1  0 1 0  
                       
 1 0 1  1 0 1  1 0 1  
 0 1 0  0 1 0  0 1 0  
 1 0 1  1 0 1  1 0 1  

Into a rank 2 array that looks like:

  1 0 1 1 0 1 1 0 1  
  0 1 0 0 1 0 0 1 0  
  1 0 1 1 0 1 1 0 1  
  0 1 0 1 0 1 0 1 0  
  1 0 1 0 1 0 1 0 1  
  0 1 0 1 0 1 0 1 0  
  1 0 1 1 0 1 1 0 1  
  0 1 0 0 1 0 0 1 0  
  1 0 1 1 0 1 1 0 1 

examples of the desired output are found here. (Note: the way the input array is made is how the inputs are made in the program i am working on.)

To put it another way, the code should take a pattern of indices and patterns at said indices and place into those indices the patterns and return those as a rank 2 array, not rank 4 (kind of like making a mosaic with different tiles). I have tried using ♭₂ rerank 2 and along with various combinations of ⤸orient , ⍉ trans and ↯ reshape.

[kaikalii]

Maybe something like ≡/⊂/⊂⤸0_2.

[cqn-brwpna9]

Thanks, i used it for this