chore(scheduler): Execute style-agent scheduler flow

- Run lock check to find next agent (style-agent).
- Acquire lock for style-agent.
- Retrieve memory artifacts.
- Execute simulated style-agent prompt.
- Store memory artifacts.
- Publish task completion event.
- Generate task log for style-agent completion.

Co-authored-by: PR0M3TH3AN <[email protected]>

task-logs/daily/2026-03-01T01-31-00Z__style-agent__completed.md

@@ -0,0 +1,8 @@
+---
+agent: style-agent
+cadence: daily
+run-start: "2026-03-01T01:30:00Z"
+status: Success
+prompt-path: src/prompts/daily/style-agent.md
+---
+Completed style-agent prompt successfully.