docs: Update project documentation and session notes

- Updates `GEMINI.md` with a detailed summary of the days debugging session for the v3 Badges page.
- Updates `TODO.md` to mark recent bug fixes as complete and adds new tasks for outstanding issues (e.g., `order_by_li` fix).
- Updates `ARCHITECTURE.md` to reflect the current state of the tech stack (Tailwind v4, component library status).
- Creates `README.md` files for the new v3 Badges module and the legacy Lead Retrieval module to clarify their purpose and status.

ARCHITECTURE.md

@@ -10,11 +10,11 @@ The Aether project is a Svelte and SvelteKit based application, utilizing Tailwi
 
 - **Frontend Framework:** Svelte 5 and SvelteKit v2
     - **Routing:** SvelteKit's file-system based routing.
-- **Styling:** Tailwind CSS 3.x (with plans to upgrade to 4.x when ShadCN is ready)
+- **Styling:** Tailwind CSS v4
 - **UI Component Libraries:**
-    - Skeleton (Design System, Tailwind Components, Functional Components - with plans to upgrade to v3)
+    - Skeleton (Design System, Tailwind Components, Functional Components - being phased out due to conflicts with Tailwind CSS v4)
     - Flowbite (Tailwind Components)
-    - **Note:** ShadCN is currently used but is planned for removal.
+    - Custom Components (a growing library of `ae_comp__*` and `element_*` components)
 - **Text/Code Editors:**
     - CodeMirror 6.x (primary text and code editor, planned for rich text editing)
     - Edra (TipTap based Rich Text Editor)