How to calculate the lengh of a chain path ?

I am trying to create an animate chain with a gear. But it is not an usual chain.

The gear had to "push" on the Lego brick and not use the chain (there are screws in it)
Normaly my calculation are good to have a 7cm diameter gear.
I have notice during assembly that some inner plate of the chain are not coincident.
Thanks for help.

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