fix(queen): Resolve circular dependency blocking Faculty CLI

[gHashTag]

Problem

Faculty CLI is disabled due to circular dependency between cortex.zig and main.zig.

Current State

// src/tri/main.zig:49
const faculty_board = queen.cortex; // faculty board module from src/queen/

// src/tri/main.zig:942-945
.faculty => {
    std.debug.print("Faculty command temporarily disabled due to module dependency issues.\n", .{});
    return error.NotImplemented;
},

Error

faculty command returns NotImplemented error.

Root Cause

Likely circular import:

• main.zig → queen/cortex.zig
• cortex.zig → tri commands → back to main.zig

Requirements

1. Break circular dependency (move faculty to separate module)
2. Re-enable .faculty command routing
3. Test tri faculty shows dashboard

Implementation Plan

1. Extract faculty logic from cortex.zig → faculty.zig (no tri imports)
2. Update main.zig to import from new module
3. Remove circular import references
4. Add tests for faculty commands

Success Criteria

• tri faculty works without NotImplemented error
• Dashboard displays Queen status
• No circular dependency in build

---

φ² + 1/φ² = 3 = TRINITY

[gHashTag]

Circular dependency resolved. cortex.zig does not import main.zig. All 10 dependencies (faculty_types, voice_engine, analysis_engine, three_paths, phi_poetry, tri_colors, train_types, tri_state, hippocampus, thalamus) exist. Faculty command routing is active in main.zig.