Thickness For Connectors

I have a flat-ish model 8” x 9” x ~3”. As for the base layers, I have about 9 of them, making the rectangular base. I think it has about 9 x 0.2” height for the bottom support.

How much thickness would I need so I can assemble them with that notch method? This model will be split into 12 pieces of 8" x 9".

Thanks.