refactor: rename public routes and templates to platform

Complete the public -> platform naming migration across the codebase.
This aligns with the naming convention where "platform" refers to
the marketing/public-facing pages of the platform itself.

Changes:
- Update all imports from public to platform modules
- Update template references from public/ to platform/
- Update route registrations to use platform prefix
- Update documentation to reflect new naming
- Update test files for platform API endpoints

Files affected:
- app/api/main.py - router imports
- app/modules/*/routes/*/platform.py - route definitions
- app/modules/*/templates/*/platform/ - template files
- app/modules/routes.py - route discovery
- docs/* - documentation updates
- tests/integration/api/v1/platform/ - test files

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

app/api/main.py

@@ -10,7 +10,7 @@ This module provides:
 
 from fastapi import APIRouter
 
-from app.api.v1 import admin, public, storefront, vendor, webhooks
+from app.api.v1 import admin, platform, storefront, vendor, webhooks
 
 api_router = APIRouter()
 
@@ -37,12 +37,12 @@ api_router.include_router(vendor.router, prefix="/v1/vendor", tags=["vendor"])
 api_router.include_router(storefront.router, prefix="/v1/storefront", tags=["storefront"])
 
 # ============================================================================
-# PUBLIC ROUTES (Unauthenticated endpoints)
-# Prefix: /api/v1/public
+# PLATFORM ROUTES (Unauthenticated endpoints)
+# Prefix: /api/v1/platform
 # Includes: /signup, /pricing, /letzshop-vendors, /language
 # ============================================================================
 
-api_router.include_router(public.router, prefix="/v1/public", tags=["public"])
+api_router.include_router(platform.router, prefix="/v1/platform", tags=["platform"])
 
 # ============================================================================
 # WEBHOOK ROUTES (External service callbacks via auto-discovery)

app/api/v1/platform/__init__.py

@@ -1,11 +1,11 @@
-# app/api/v1/public/__init__.py
+# app/api/v1/platform/__init__.py
 """
-Public API endpoints (no authentication required).
+Platform API endpoints (no authentication required).
 
 Includes:
 - signup: /signup/* (multi-step signup flow - cross-cutting)
 
-Auto-discovers and aggregates public routes from self-contained modules:
+Auto-discovers and aggregates platform routes from self-contained modules:
 - billing: /pricing/* (subscription tiers and add-ons)
 - marketplace: /letzshop-vendors/* (vendor lookup for signup)
 - core: /language/* (language preferences)
@@ -15,16 +15,16 @@ These endpoints serve the marketing homepage, pricing pages, and signup flows.
 
 from fastapi import APIRouter
 
-from app.api.v1.public import signup
-from app.modules.routes import get_public_api_routes
+from app.api.v1.platform import signup
+from app.modules.routes import get_platform_api_routes
 
 router = APIRouter()
 
 # Cross-cutting signup flow (spans auth, vendors, billing, payments)
-router.include_router(signup.router, tags=["public-signup"])
+router.include_router(signup.router, tags=["platform-signup"])
 
-# Auto-discover public routes from modules
-for route_info in get_public_api_routes():
+# Auto-discover platform routes from modules
+for route_info in get_platform_api_routes():
     if route_info.custom_prefix:
         router.include_router(
             route_info.router,

app/api/v1/platform/signup.py

@@ -1,4 +1,4 @@
-# app/api/v1/public/signup.py
+# app/api/v1/platform/signup.py
 """
 Platform signup API endpoints.