feat: NCWF-5/6/7/8/9 chess analysis page and engine integration

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

.claude/commands/implement-feature.md

@@ -4,6 +4,7 @@ Automated feature-implementation workflow. Ticket ID: `$ARGUMENTS`
 
 This is the **NowChess-Frontend** repo (Angular 20 / TypeScript). In-project =
 `NCWF`. Gates:
+
 - Build: `npm run build`
 - Test: `npm test -- --watch=false --browsers=ChromeHeadless`
 - Format: `npx prettier --write .` (check with `npx prettier --check .`)
@@ -40,6 +41,7 @@ are collected and reported at the end with a ready-to-run prompt.
 ## Step 3 — Create Worktree
 
 Derive branch name from the root ticket `$ARGUMENTS`:
+
 - `type` from YouTrack issue type: `feature`/`task` → `feat`, `refactor` → `refactor`, `bug` → `fix`, else `chore`
 - `scope` from affected area (kebab-case, omit if unclear)
 - `description` from ticket summary: lowercase, kebab-case, max 40 chars, drop articles
@@ -83,6 +85,7 @@ Display findings grouped by severity.
 ## Step 6b — Apply Review Findings
 
 If the review produced any findings (any severity):
+
 1. Implement all agreed fixes.
 2. Run `npm run build` — must be green.
 3. Run `npm test -- --watch=false --browsers=ChromeHeadless` — must be green.
@@ -139,10 +142,12 @@ Call `ExitWorktree` with `discard_changes: true` to delete the worktree.
 Final report to the user, in two sections:
 
 ### Blocked in-project tasks
+
 List any `NCWF` tasks that could **not** be implemented, with the blocker(s)
 that stopped them. (These can be re-run with this command once blockers clear.)
 
 ### Cross-project tasks (NCS / NCI / other)
+
 For every out-of-project task discovered in the tree (whether it was a subtask
 or a blocker), output one entry: