Recently, I've completely ditched the specification part. I found they just weren't useful over the longer term. I used an LLM to assess in both directions whether the code matched the specs and whether the specs matched the code. On both software projects this came out with huge divergence from spec to code.
Basically the old theory is true - the code IS the specification.
What I did find very useful and have retained is the process flow. Create a proposal, review the proposal, implement, review the code. Also useful was building and maintaining ADRs and invariant logs for where a unit test cannot be made to verify behaviour. The process and the ADRs, unit test, invariant log all help the software stay coherent as the LLM churns on it over many unconnected contexts.