rename project from SimpleshopTheme to Berrypod

All modules, configs, paths, and references updated.
836 tests pass, zero warnings.

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

docs/plans/printify-integration-research.md

@@ -74,17 +74,17 @@ The official Shopify integration handles product identity well through SKUs.
 
 - Apply at printify.com/printify-api
 - ~1 week approval process
-- Merchants authorize SimpleShop via OAuth
+- Merchants authorize Berrypod via OAuth
 - We appear in Printify's publishing UI alongside Shopify/Etsy
 - Products get "published" TO us with lock
 - Webhooks for real-time updates
 
 **How publishing works in Option 2:**
-1. Merchant clicks "Publish to SimpleShop" in Printify
+1. Merchant clicks "Publish to Berrypod" in Printify
 2. Printify sends `product:publish:started` webhook
 3. We create the product on our side
 4. We call `publishing_succeeded.json` to confirm
-5. Product locked in Printify, shows as "Published to SimpleShop"
+5. Product locked in Printify, shows as "Published to Berrypod"
 
 **Benefits of official integration:**
 - Publish lock prevents editing after publishing (data consistency)
@@ -189,7 +189,7 @@ From Printify documentation:
 
 ### The core tension
 
-SimpleShop exists in two forms:
+Berrypod exists in two forms:
 1. **Open source** - self-hosted by anyone
 2. **Managed hosting** - SaaS service run by us
 
@@ -199,7 +199,7 @@ Printify's integration options have different implications for each.
 
 **How it works:**
 - Each merchant creates their own Printify API token
-- Token entered in SimpleShop admin
+- Token entered in Berrypod admin
 - Direct API access, no intermediary
 
 **Open source:** ✅ Works perfectly
@@ -222,7 +222,7 @@ Printify's integration options have different implications for each.
 ### OAuth Platform Integration
 
 **How it works:**
-- Register SimpleShop as an app with Printify
+- Register Berrypod as an app with Printify
 - Get OAuth client ID/secret
 - Merchants click "Connect" and authorize
 - We receive access tokens, appear in Printify UI
@@ -270,7 +270,7 @@ Printify's integration options have different implications for each.
 | Webhook proxy | Depends on proxy | Full features |
 
 **Potential differentiation for managed hosting:**
-- Official "Publish to SimpleShop" in Printify UI
+- Official "Publish to Berrypod" in Printify UI
 - Real-time sync via webhooks
 - Publish lock (data consistency guarantee)
 - Pre-checkout validation (verify before order)