HoTT is somewhat independent of the choice of proof assistant.

Coq: https://github.com/HoTT/HoTT

Lean: https://github.com/gebner/hott3

idk what you mean by "blue screened", or results being on the way. afaict most of the non-foundational work present (what I assume you mean by "results") in these libraries are basic properties of basic mathematical concepts being rebuilt on HoTT.