docs: cleanup stale documentation and fix outdated references

- Delete README-ORACLE-MODES.md (references Docker infra that doesn't exist)
- Delete .claude/HANDOFF.md (completed CI/CD session handoff, no longer needed)
- Fix api/README.md: correct run command to ./start.sh, update test commands
  to use ./test.sh instead of deleted test_app_basic.py/test_integration.py
- Fix scripts/HANDOFF_MAPPING.md: mark deleted scripts as removed
- Remove dead README-ORACLE-MODES.md link from README doc table

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

api/README.md

@@ -37,17 +37,19 @@ Admin interface si orchestrator pentru importul comenzilor GoMag in Oracle ROA.
 
 ```bash
 pip install -r requirements.txt
-uvicorn app.main:app --host 0.0.0.0 --port 5003 --reload
+# INTOTDEAUNA via start.sh din project root (seteaza Oracle env vars)
+cd .. && ./start.sh
 ```
 
 ## Testare
 
 ```bash
-# Test A - fara Oracle (verifica importuri + rute)
-python test_app_basic.py
-
-# Test C - cu Oracle (integrare completa)
-python test_integration.py
+# Din project root:
+./test.sh ci       # Teste rapide (unit + e2e, ~30s, fara Oracle)
+./test.sh full     # Teste complete (inclusiv Oracle, ~2-3 min)
+./test.sh unit     # Doar unit tests
+./test.sh e2e      # Doar browser tests (Playwright)
+./test.sh oracle   # Doar Oracle integration
 ```
 
 ## Dual Database