Add benchmark results for fast3 and fast4, implement KeepAliveLspBridge, and add tests for staged strategies

- Added new benchmark result files: compare_2026-02-09_score_fast3.json and compare_2026-02-09_score_fast4.json.
- Implemented KeepAliveLspBridge to maintain a persistent LSP connection across multiple queries, improving performance.
- Created unit tests for staged clustering strategies in test_staged_stage3_fast_strategies.py, ensuring correct behavior of score and dir_rr strategies.

.codex/skills/parallel-dev-cycle/phases/01-session-init.md

@@ -258,4 +258,4 @@ function checkControlSignals(cycleId) {
 
 ## Next Phase
 
-Return to orchestrator, then auto-continue to [Phase 2: Agent Execution](02-agent-execution.md).
+Return to main flow, then auto-continue to [Phase 2: Agent Execution](02-agent-execution.md).

.codex/skills/parallel-dev-cycle/phases/02-agent-execution.md

@@ -446,4 +446,4 @@ Execution timeout reached. Please:
 
 ## Next Phase
 
-Return to orchestrator, then auto-continue to [Phase 3: Result Aggregation & Iteration](03-result-aggregation.md).
+Return to main flow, then auto-continue to [Phase 3: Result Aggregation & Iteration](03-result-aggregation.md).

.codex/skills/parallel-dev-cycle/phases/03-result-aggregation.md

@@ -227,4 +227,4 @@ Phase 3: Result Aggregation
 ## Next Phase
 
 If iteration continues: Return to Phase 2.
-If iteration completes: Return to orchestrator, then auto-continue to [Phase 4: Completion & Summary](04-completion-summary.md).
+If iteration completes: Return to main flow, then auto-continue to [Phase 4: Completion & Summary](04-completion-summary.md).

.codex/skills/parallel-dev-cycle/phases/04-completion-summary.md

@@ -83,7 +83,7 @@ Object.values(agents).forEach(id => {
 ### Step 4.4: Return Result
 
 ```javascript
-console.log('\n=== Parallel Dev Cycle Orchestrator Finished ===')
+console.log('\n=== Parallel Dev Cycle Finished ===')
 
 return {
   status: 'completed',