docs/: move the design and working documents out of the repo root (CLAUDE.md and AGENTS.md stay, harnesses read them there)

Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>

client-core/Cargo.toml

@@ -7,7 +7,7 @@ edition = "2024"
 # with `server/` via `event-model`), the REST + SSE clients for its HTTP
 # surface (see `server/src/routes.rs`'s module doc for the table), the
 # transcript fold and cache, the markdown block model, the syntax
-# highlighter and the ANSI parser. See CLIENT_CORE.md at the repo root for
+# highlighter and the ANSI parser. See `docs/CLIENT_CORE.md` for
 # what this holds today, what it does not yet, and how it corresponds to
 # the Kotlin it replaces.
 #