Over the last decade, interest in spin-$1/2$ Heisenberg antiferromagnet (HAF) on square kagome (also called shuriken) lattice has been growing as a model system of quantum magnetism with paramagnetic ground state, flat-band physics near saturation field, and scars. A further motivation to study this comes from recent discovery gapless spin liquid magnet $\mathrm{K}{\mathrm{Cu}}_{6}\mathrm{Al}\m...
