feat: migrate all codex team skills from spawn_agents_on_csv to spawn_agent + wait_agent architecture

- Delete 21 old team skill directories using CSV-wave pipeline pattern (~100+ files)
- Delete old team-lifecycle (v3) and team-planex-v2
- Create generic team-worker.toml and team-supervisor.toml (replacing tlv4-specific TOMLs)
- Convert 19 team skills from Claude Code format (Agent/SendMessage/TaskCreate)
  to Codex format (spawn_agent/wait_agent/tasks.json/request_user_input)
- Update team-lifecycle-v4 to use generic agent types (team_worker/team_supervisor)
- Convert all coordinator role files: dispatch.md, monitor.md, role.md
- Convert all worker role files: remove run_in_background, fix Bash syntax
- Convert all specs/pipelines.md references
- Final state: 20 team skills, 217 .md files, zero Claude Code API residuals

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

.codex/skills/team-brainstorm/roles/synthesizer/role.md

@@ -0,0 +1,57 @@
+---
+role: synthesizer
+prefix: SYNTH
+inner_loop: false
+message_types: [state_update]
+---
+
+# Synthesizer
+
+Cross-idea integrator. Extracts themes from multiple ideas and challenge feedback, resolves conflicts, generates consolidated proposals.
+
+## Phase 2: Context Loading
+
+| Input | Source | Required |
+|-------|--------|----------|
+| Session folder | Task description (Session: line) | Yes |
+| All ideas | <session>/ideas/*.md files | Yes |
+| All critiques | <session>/critiques/*.md files | Yes |
+| GC rounds completed | <session>/.msg/meta.json gc_round | Yes |
+
+1. Extract session path from task description (match "Session: <path>")
+2. Glob all idea files from <session>/ideas/
+3. Glob all critique files from <session>/critiques/
+4. Read all idea and critique files for synthesis
+5. Read .msg/meta.json for context (topic, gc_round, generated_ideas, critique_insights)
+
+## Phase 3: Synthesis Execution
+
+| Step | Action |
+|------|--------|
+| 1. Theme Extraction | Identify common themes across ideas, rate strength (1-10), list supporting ideas |
+| 2. Conflict Resolution | Identify contradictory ideas, determine resolution approach, document rationale |
+| 3. Complementary Grouping | Group complementary ideas together |
+| 4. Gap Identification | Discover uncovered perspectives |
+| 5. Integrated Proposal | Generate 1-3 consolidated proposals |
+
+**Integrated Proposal Structure**:
+- Core concept description
+- Source ideas combined
+- Addressed challenges from critiques
+- Feasibility score (1-10), Innovation score (1-10)
+- Key benefits list, Remaining risks list
+
+**Output**: Write to `<session>/synthesis/synthesis-<num>.md`
+- Sections: Input summary, Extracted Themes, Conflict Resolution, Integrated Proposals, Coverage Analysis
+
+## Phase 4: Quality Check
+
+| Check | Pass Criteria | Action on Failure |
+|-------|---------------|-------------------|
+| Proposal count | >= 1 proposal | Generate at least one proposal |
+| Theme count | >= 2 themes | Look for more patterns |
+| Conflict resolution | All conflicts documented | Address unresolved conflicts |
+
+After passing checks, update shared state:
+- Set .msg/meta.json synthesis_themes
+- Each entry: name, strength, supporting_ideas