feat: Add TrialManager and DashboardDB for unified trial management

- Add TrialManager (trial_manager.py) for consistent trial_NNNN naming
- Add DashboardDB (dashboard_db.py) for Optuna-compatible database schema
- Update CLAUDE.md with trial management documentation
- Update ATOMIZER_CONTEXT.md with v1.8 trial system
- Update cheatsheet v2.2 with new utilities
- Update SYS_14 protocol to v2.3 with TrialManager integration
- Add LAC learnings for trial management patterns
- Add archive/README.md for deprecated code policy

Key principles:
- Trial numbers NEVER reset (monotonic)
- Folders NEVER get overwritten
- Database always synced with filesystem
- Surrogate predictions are NOT trials (only FEA results)

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

.claude/ATOMIZER_CONTEXT.md

@@ -106,17 +106,21 @@ studies/
 studies/{geometry_type}/{study_name}/
 ├── optimization_config.json    # Problem definition
 ├── run_optimization.py         # FEA optimization script
-├── run_nn_optimization.py      # Neural acceleration (optional)
+├── run_turbo_optimization.py   # GNN-Turbo acceleration (optional)
 ├── README.md                   # MANDATORY documentation
 ├── STUDY_REPORT.md             # Results template
 ├── 1_setup/
+│   ├── optimization_config.json # Config copy for reference
 │   └── model/
 │       ├── Model.prt           # NX part file
 │       ├── Model_sim1.sim      # NX simulation
 │       └── Model_fem1.fem      # FEM definition
-├── 2_iterations/               # FEA trial folders (iter1, iter2, ...)
+├── 2_iterations/               # FEA trial folders (trial_NNNN/)
+│   ├── trial_0001/             # Zero-padded, NEVER reset
+│   ├── trial_0002/
+│   └── ...
 ├── 3_results/
-│   ├── study.db                # Optuna database
+│   ├── study.db                # Optuna-compatible database
 │   ├── optimization.log        # Logs
 │   └── turbo_report.json       # NN results (if run)
 └── 3_insights/                 # Study Insights (SYS_16)
@@ -435,11 +439,68 @@ python -m optimization_engine.auto_doc templates
 
 ---
 
+## Trial Management System (v2.3)
+
+New unified trial management ensures consistency across all optimization methods:
+
+### Key Components
+
+| Component | Path | Purpose |
+|-----------|------|---------|
+| `TrialManager` | `optimization_engine/utils/trial_manager.py` | Unified trial folder + DB management |
+| `DashboardDB` | `optimization_engine/utils/dashboard_db.py` | Optuna-compatible database wrapper |
+
+### Trial Naming Convention
+
+```
+2_iterations/
+├── trial_0001/    # Zero-padded, monotonically increasing
+├── trial_0002/    # NEVER reset, NEVER overwritten
+├── trial_0003/
+└── ...
+```
+
+**Key principles**:
+- Trial numbers **NEVER reset** (monotonically increasing)
+- Folders **NEVER get overwritten**
+- Database is always in sync with filesystem
+- Surrogate predictions (5K) are NOT trials - only FEA results
+
+### Usage
+
+```python
+from optimization_engine.utils.trial_manager import TrialManager
+
+tm = TrialManager(study_dir)
+
+# Start new trial
+trial = tm.new_trial(params={'rib_thickness': 10.5})
+
+# After FEA completes
+tm.complete_trial(
+    trial_number=trial['trial_number'],
+    objectives={'wfe_40_20': 5.63, 'mass_kg': 118.67},
+    weighted_sum=42.5,
+    is_feasible=True
+)
+```
+
+### Database Schema (Optuna-Compatible)
+
+The `DashboardDB` class creates Optuna-compatible schema for dashboard integration:
+- `trials` - Main trial records with state, datetime, value
+- `trial_values` - Objective values (supports multiple objectives)
+- `trial_params` - Design parameter values
+- `trial_user_attributes` - Metadata (source, solve_time, etc.)
+- `studies` - Study metadata (directions, name)
+
+---
+
 ## Version Info
 
 | Component | Version | Last Updated |
 |-----------|---------|--------------|
-| ATOMIZER_CONTEXT | 1.7 | 2025-12-20 |
+| ATOMIZER_CONTEXT | 1.8 | 2025-12-28 |
 | BaseOptimizationRunner | 1.0 | 2025-12-07 |
 | GenericSurrogate | 1.0 | 2025-12-07 |
 | Study State Detector | 1.0 | 2025-12-07 |
@@ -452,6 +513,9 @@ python -m optimization_engine.auto_doc templates
 | Subagent Commands | 1.0 | 2025-12-07 |
 | FEARunner Pattern | 1.0 | 2025-12-12 |
 | Study Insights | 1.0 | 2025-12-20 |
+| TrialManager | 1.0 | 2025-12-28 |
+| DashboardDB | 1.0 | 2025-12-28 |
+| GNN-Turbo System | 2.3 | 2025-12-28 |
 
 ---