Problem with overlapping parts

How do I...?
#1

Hey guys.
I am building a domino game in which the opponent’s pieces (CPU) connect automatically when verifying that a matching piece is on the table.

The point is that I am having a problem of overlapping the pieces when I have 2+ identical objects.

Any ideas on how to solve this? Thank you very much in advance.
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#2

Could you explain you problem in a bit more detail? What do you mean by overlapping pieces, and what is the problem this causes (i.e. what does the CPU player do when the overlapping pieces situation arises)?