Add shot/asset typing and owned task types to departments

Departments now carry a type (shot or asset) and own a list of task
types (e.g. Animation: blocking/primary_pass/second_pass, Composite:
first_pass/second_pass, plus a new Simulation department), additive to
the existing flat Custom Task Type system. When a task's type belongs
to a department, its department is derived and kept in sync server-side
across create/update paths; Task Type is now editable in the Task
Detail panel and Department options are filtered to the task's
shot/asset scope.

backend/routers/shots.py

@@ -13,6 +13,7 @@ from schemas.shot import (
     BulkShotCreate, BulkShotResponse, TaskStatusInfo
 )
 from utils.auth import get_current_user_from_token, require_permission
+from utils.departments import find_owning_department
 from services.shot_soft_deletion import ShotSoftDeletionService
 
 router = APIRouter()
@@ -131,26 +132,27 @@ def get_all_shot_task_types(project_id: int, db: Session) -> List[str]:
     return STANDARD_SHOT_TASK_TYPES + custom_types
 
 
-def create_default_tasks_for_shot(shot: Shot, task_types: List[str], db: Session):
+def create_default_tasks_for_shot(shot: Shot, task_types: List[str], db: Session, project: Project = None):
     """Create default tasks for a shot."""
     created_tasks = []
-    
+
     for task_type in task_types:
         task_name = f"{shot.name}_{task_type}"
         task_description = f"{task_type.title()} task for shot {shot.name}"
-        
+
         task = Task(
             project_id=shot.project_id,
             episode_id=shot.episode_id,
             shot_id=shot.id,
             task_type=task_type,
             name=task_name,
-            description=task_description
+            description=task_description,
+            department=find_owning_department(project, task_type) if project else None
         )
-        
+
         db.add(task)
         created_tasks.append(task)
-    
+
     return created_tasks
 
 
@@ -420,7 +422,8 @@ async def create_shot(
         all_task_types = get_all_shot_task_types(episode.project_id, db)
         # Use default standard types for now (can be customized via project settings)
         default_task_types = get_default_shot_task_types()
-        created_tasks = create_default_tasks_for_shot(db_shot, default_task_types, db)
+        project = db.query(Project).filter(Project.id == episode.project_id).first()
+        created_tasks = create_default_tasks_for_shot(db_shot, default_task_types, db, project)
         db.commit()
         task_count = len(created_tasks)
     
@@ -498,7 +501,8 @@ async def create_shots_bulk(
     
     created_shots = []
     total_tasks_created = 0
-    
+    project = db.query(Project).filter(Project.id == project_id).first()
+
     try:
         # Create all shots - validation already done above
         for i, shot_name in enumerate(shot_names_to_create):
@@ -525,7 +529,7 @@ async def create_shots_bulk(
             # Create default tasks if requested
             task_count = 0
             if bulk_shot.create_default_tasks:
-                created_tasks = create_default_tasks_for_shot(db_shot, task_types, db)
+                created_tasks = create_default_tasks_for_shot(db_shot, task_types, db, project)
                 task_count = len(created_tasks)
                 total_tasks_created += task_count
             
@@ -694,6 +698,7 @@ async def create_shot_task(
     
     # Create the task
     task_name = f"{shot.name} - {task_type.title()}"
+    project = db.query(Project).filter(Project.id == shot.project_id).first()
     db_task = Task(
         project_id=shot.project_id,
         episode_id=shot.episode_id,
@@ -701,7 +706,8 @@ async def create_shot_task(
         task_type=task_type,
         name=task_name,
         description=f"{task_type.title()} task for {shot.name}",
-        status="not_started"
+        status="not_started",
+        department=find_owning_department(project, task_type)
     )
     
     db.add(db_task)