Characterized by excellent coherence, cryogenic atoms in optical lattices operating in parallel form competitive candidates for quantum computing. For this reason, a huge number of parallel entangled atomic pairs are realized in superlattices. A more formidable challenge, however, is the scaled-up detection of multipart entanglements due to the lack of manipulations on local atomic spins in retroreflective dichroic superlattices. Here we develop a novel architecture based on cross-angle spin-dependent superlattices for implementing layers of quantum gates on moderately separated atoms, incorporating quantum gas microscopy for single-atom manipulation. By connecting bell pairs to 1-D 10-atom chains and 2-D brackets of $2\times4$ atoms, we have created and verified functional building blocks for scalable multipart entanglements. This provides a new platform for scalable quantum computation and simulation.