And for instance, you can also prepare a Cx-Cx-X state (a Hadamard CCZ) by unfolding the [[8,3,2]] 3D color code
The suppression scales in p², which is a bit weak, but maybe larger unfolded codes can push the fidelity further, something to explore!
cc @christophe.vuillot.info

Why does it work? The 15 Reed-Muller is 3D, but if one error type dominates, you only need to measure the weight-4 stabilizers, not the weight-8 ones
The nice part is you can unfold these weight-4 checks in 2D!
And this unfolded code can be also merged with a thin surface code

And even with a noise bias as low as 80, a magic state of the same fidelity can be prepared with 175 qubits in the same amount of time
The key insight is that the noise bias enables you to perform distillation at the physical level rather than at the logical level