feat: Complete backend and docs rebrand from Patherly to ResolutionFlow

Update APP_NAME, OpenAPI metadata, log messages, root endpoint response,
model docstrings, seed script comments, README heading, and CLAUDE.md
branding references. Frontend rebrand was completed in PR #26; this
covers everything else.

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

backend/app/core/config.py

@@ -5,7 +5,7 @@ from typing import Optional
 
 class Settings(BaseSettings):
     # Application
-    APP_NAME: str = "Patherly"
+    APP_NAME: str = "ResolutionFlow"
     DEBUG: bool = False
     API_V1_PREFIX: str = "/api/v1"
 

backend/app/main.py

@@ -18,19 +18,19 @@ logger = logging.getLogger(__name__)
 async def lifespan(app: FastAPI):
     """Application lifespan handler."""
     # Startup
-    logger.info("Starting Patherly API server...")
+    logger.info("Starting ResolutionFlow API server...")
     logger.info(f"Environment: {'Development' if settings.DEBUG else 'Production'}")
     logger.info(f"ALLOW_RAILWAY_ORIGINS: {settings.ALLOW_RAILWAY_ORIGINS}")
     # Note: In production, use Alembic migrations instead of init_db
     # await init_db()
     yield
     # Shutdown
-    logger.info("Shutting down Patherly API server...")
+    logger.info("Shutting down ResolutionFlow API server...")
 
 
 app = FastAPI(
     title=settings.APP_NAME,
-    description="Patherly - Take the path MOST traveled. Guided troubleshooting with automatic documentation.",
+    description="ResolutionFlow - Take the path MOST traveled. Guided troubleshooting with automatic documentation.",
     version="1.0.0",
     docs_url="/api/docs",
     redoc_url="/api/redoc",
@@ -44,7 +44,7 @@ app.add_middleware(RequestLoggingMiddleware)
 
 # Configure CORS
 # Note: When ALLOW_RAILWAY_ORIGINS is True, we use allow_origin_regex for Railway domains
-# PLUS the explicit allowed_origins list (for custom domains like app.patherly.com)
+# PLUS the explicit allowed_origins list (for custom domains like app.resolutionflow.com)
 if settings.ALLOW_RAILWAY_ORIGINS:
     app.add_middleware(
         CORSMiddleware,
@@ -71,7 +71,7 @@ app.include_router(api_router, prefix=settings.API_V1_PREFIX)
 async def root():
     """Root endpoint."""
     return {
-        "message": "Patherly API",
+        "message": "ResolutionFlow API",
         "docs": "/api/docs",
         "version": "1.0.0"
     }

backend/app/models/category.py

@@ -16,7 +16,7 @@ class TreeCategory(Base):
     """Admin-managed categories for organizing trees.
 
     Categories can be:
-    - Global (team_id=NULL): Created by Patherly admins, visible to all
+    - Global (team_id=NULL): Created by ResolutionFlow admins, visible to all
     - Team-specific (team_id set): Created by team admins, visible to team members
     """
     __tablename__ = "tree_categories"

backend/app/models/step_category.py

@@ -15,7 +15,7 @@ class StepCategory(Base):
     """Admin-managed categories for organizing step library entries.
 
     Categories can be:
-    - Global (team_id=NULL): Created by Patherly admins, visible to all
+    - Global (team_id=NULL): Created by ResolutionFlow admins, visible to all
     - Team-specific (team_id set): Created by team admins, visible to team members
     """
     __tablename__ = "step_categories"

backend/app/models/user.py

@@ -50,7 +50,7 @@ class User(Base):
 
     @property
     def is_admin(self) -> bool:
-        """Returns True if user is a global (Patherly) admin."""
+        """Returns True if user is a global (ResolutionFlow) admin."""
         return self.role == "admin"
 
     @property