This will be a 3-year post.

Thanks a lot Mark!

The remarkably low overhead of these circuits positions them as a valuable component for practical fault-tolerant computations. It may also inspire some low overhead construction in the lattice surgery picture.

However, such a scheme still has a higher overhead compared to magic state distillation, mainly due to the inefficiency of the decoder. Therefore, a significant reduction in the overhead is possible with further improvements in these decoders.
It is an absolute joy working with Tom Scruby on this!