docs(docs): clarify phase-based content paths and frontmatter ownership in documentation

.claude/skills/problem-approach/SKILL.md

@@ -5,14 +5,13 @@ description: Write the `## Approach` section — a Mermaid flowchart that traces
 
 # Problem approach diagrams
 
-Every solution page (`apps/docs/content/(<category>)/<num>-<slug>.mdx`) has three
-hand-owned sections around the script-owned one:
+Every solution page (`apps/docs/content/(<phase>)/<topic>/<num>-<slug>.mdx`) has a
+hand-owned section before the script-owned one:
 
 ```
-frontmatter → <Badge> → ::::warning (maybe) → ### Example N / ### Constraints
+frontmatter → ::::warning (maybe) → ### Example N / ### Constraints
 ## Approach        ← this skill (Mermaid flowchart of the code below)
 ## Solution        ← bun run sync owns this; never edit inside it
-## Explanation     ← bun run videos --write (NeetCode embed); not this skill
 ```
 
 `sync.ts` regenerates only `## Solution`, so an `## Approach` placed **before** it
@@ -144,7 +143,7 @@ there (then `bun run sync`).
 
 - Do not write prose approaches, complexity tables or alternative algorithms — the
   section is one flowchart (plus the warning callout when the code is broken).
-- Do not touch `## Solution` or anything after it; `## Explanation` is filled by
-  `bun run videos --write`.
+- Do not touch `## Solution` or anything after it, nor the frontmatter `topics:` /
+  `video:` keys (`bun run sync` / `bun run videos --write` own them).
 - Do not add an approach to `reference/` pages or `index.mdx` — only numbered
   solution pages (`title: 'NN. …'`) carry one.