feat(logging): implement configurable belief state logging

- Add LoggingConfig model and logging field to GlobalSettings
- Implement belief_scope context manager for structured logging
- Add configure_logger for dynamic level and file rotation settings
- Add logging configuration UI to Settings page
- Update ConfigManager to apply logging settings on initialization and updates

specs/006-configurable-belief-logs/tasks.md

@@ -2,19 +2,19 @@
 
 **Spec**: `specs/006-configurable-belief-logs/spec.md`
 **Plan**: `specs/006-configurable-belief-logs/plan.md`
-**Status**: Pending
+**Status**: Completed
 
 ## Phase 1: Setup
 *Goal: Initialize project structure for logging.*
 
-- [ ] T001 Ensure logs directory exists at `logs/` (relative to project root)
+- [x] T001 Ensure logs directory exists at `logs/` (relative to project root)
 
 ## Phase 2: Foundational
 *Goal: Define data models and infrastructure required for logging configuration.*
 
-- [ ] T002 Define `LoggingConfig` model in `backend/src/core/config_models.py`
-- [ ] T003 Update `GlobalSettings` model to include `logging` field in `backend/src/core/config_models.py`
-- [ ] T004 Update `ConfigManager` to handle logging configuration persistence in `backend/src/core/config_manager.py`
+- [x] T002 Define `LoggingConfig` model in `backend/src/core/config_models.py`
+- [x] T003 Update `GlobalSettings` model to include `logging` field in `backend/src/core/config_models.py`
+- [x] T004 Update `ConfigManager` to handle logging configuration persistence in `backend/src/core/config_manager.py`
 
 ## Phase 3: User Story 1 - Structured Belief State Logging
 *Goal: Implement the core "Belief State" logging logic with context managers.*
@@ -22,9 +22,9 @@
 
 **Independent Test**: Run `pytest backend/tests/test_logger.py` and verify `belief_scope` generates `[ID][Entry]`, `[ID][Action]`, and `[ID][Exit]` logs.
 
-- [ ] T005 [US1] Create unit tests for belief state logging in `backend/tests/test_logger.py`
-- [ ] T006 [US1] Implement `belief_scope` context manager in `backend/src/core/logger.py`
-- [ ] T007 [US1] Implement log formatting and smart filtering (suppress Entry/Exit if disabled) in `backend/src/core/logger.py`
+- [x] T005 [US1] Create unit tests for belief state logging in `backend/tests/test_logger.py`
+- [x] T006 [US1] Implement `belief_scope` context manager in `backend/src/core/logger.py`
+- [x] T007 [US1] Implement log formatting and smart filtering (suppress Entry/Exit if disabled) in `backend/src/core/logger.py`
 
 ## Phase 4: User Story 2 - Configurable Logging Settings
 *Goal: Expose logging configuration to the user via API and UI.*
@@ -32,15 +32,15 @@
 
 **Independent Test**: Update settings via API/UI and verify log level changes (e.g., DEBUG logs appear) and file rotation is active.
 
-- [ ] T008 [US2] Implement `configure_logger` function to apply settings (level, file, rotation) in `backend/src/core/logger.py`
-- [ ] T009 [US2] Update settings API endpoint to handle `logging` updates in `backend/src/api/routes/settings.py`
-- [ ] T010 [P] [US2] Add Logging configuration section (Level, File Path, Enable Belief State) to `frontend/src/pages/Settings.svelte`
+- [x] T008 [US2] Implement `configure_logger` function to apply settings (level, file, rotation) in `backend/src/core/logger.py`
+- [x] T009 [US2] Update settings API endpoint to handle `logging` updates in `backend/src/api/routes/settings.py`
+- [x] T010 [P] [US2] Add Logging configuration section (Level, File Path, Enable Belief State) to `frontend/src/pages/Settings.svelte`
 
 ## Final Phase: Polish & Cross-Cutting Concerns
 *Goal: Verify system stability and cleanup.*
 
-- [ ] T011 Verify log rotation works by generating dummy logs (manual verification)
-- [ ] T012 Ensure default configuration provides a sensible out-of-the-box experience
+- [x] T011 Verify log rotation works by generating dummy logs (manual verification)
+- [x] T012 Ensure default configuration provides a sensible out-of-the-box experience
 
 ## Dependencies