feat: prepare six-lesson trial backend with reliable rewards and operations

Co-authored-by: Cursor <cursoragent@cursor.com>

docs/cutover-scripts-removed.md

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+# Cutover npm scripts (removed)
+
+Historical migration scripts lived at `scripts/cutover/` (workspace parent of `backend-nest`). That folder was not recovered after the 2026-08 incident.
+
+The following **npm scripts were removed** from `package.json` because they pointed at missing files:
+
+- `test:cutover:g1a`
+- `test:cutover:g1b`
+- `test:cutover:g1b2b`
+- `test:cutover:g1b:dry-run`
+
+**Use instead:**
+
+- `npm run test:progression` — Gold Land progression, grader, `reward_ledger`
+- `npm run test:integration` — auth, economy, API contracts (temporary SQLite only)
+
+To recover old cutover tooling, restore from Git history or the backend remote archive; do not re-add broken script paths without the files.