docs(uikit): point adapter links to ecosystem docs, tidy AddressBook section

- Link to /ecosystem-adapters/building-an-adapter; keep single Next Steps callouts per page.

- AddressBookWidget: lead with intro, full-width image below; drop cramped side layout.

Author: pasevin

content/tools/uikit/architecture.mdx

@@ -86,8 +86,6 @@ flowchart TD
 | `Relayer` | 3 | Gas-sponsored transaction execution via relayers |
 | `AccessControl` | 3 | Role-based access control queries and snapshots |
 
-For more background on the adapter pattern and how chain-specific integrations are structured, see [Building New Adapters](/ui-builder/building-adapters).
-
 ### Capability Bundles
 
 Higher-level components request specific **bundles** of capabilities rather than the full set. For example, `TransactionForm` expects a `TransactionFormCapabilities` type: an intersection of the capabilities needed for form rendering, execution, and status tracking.
@@ -134,8 +132,6 @@ Adapters support five standard profiles that define which capabilities are inclu
 
 Choose the lightest profile that fits your use case. A dashboard that only displays contract state can use `viewer`; a full transaction builder should use `composer` or `operator`.
 
-For more background on the adapter architecture, see [Building New Adapters](/ui-builder/building-adapters).
-
 ### Runtime Lifecycle
 
 ```mermaid
@@ -217,4 +213,4 @@ flowchart TD
 
 - [Components](/tools/uikit/components): Explore all available UI primitives and form fields
 - [React Integration](/tools/uikit/react-integration): Deep dive into providers, hooks, and wallet state
-- [Building New Adapters](/ui-builder/building-adapters): Background on the adapter pattern and ecosystem integrations
+- [Building an adapter](/ecosystem-adapters/building-an-adapter): Background on the adapter pattern and ecosystem integrations

content/tools/uikit/components.mdx

@@ -227,12 +227,12 @@ import { ContractStateWidget } from '@openzeppelin/ui-renderer';
 </div>
 </div>
 
-![AddressBookWidget](/uikit/address-book-widget.png)
-
 ### AddressBookWidget
 
 A full-featured address book UI for managing saved addresses and their human-readable aliases. Supports CRUD operations, search, and import/export.
 
+![AddressBookWidget](/uikit/address-book-widget.png)
+
 `AddressBookWidget` works with the [`@openzeppelin/ui-storage`](/tools/uikit/storage) package, specifically the **account alias plugin** which persists address-to-name mappings in IndexedDB via Dexie.js. When mounted alongside `AddressLabelProvider` and `AddressSuggestionProvider`, saved aliases automatically appear in all `AddressDisplay` and `AddressField` components throughout the app.
 
 ```tsx

content/tools/uikit/getting-started.mdx

@@ -48,7 +48,7 @@ pnpm add -D @openzeppelin/ui-dev-cli
 
 ### Ecosystem Adapters
 
-You also need at least one ecosystem adapter package for the blockchain(s) your app supports. For background on how adapters are structured, see [Building New Adapters](/ui-builder/building-adapters):
+You also need at least one ecosystem adapter package for the blockchain(s) your app supports:
 
 ```bash
 # EVM (Ethereum, Polygon, Arbitrum, etc.)
@@ -219,4 +219,4 @@ For the full React integration guide, see [React Integration](/tools/uikit/react
 - [Components](/tools/uikit/components): Explore UI primitives and blockchain-aware form fields
 - [React Integration](/tools/uikit/react-integration): Deep dive into providers, hooks, and wallet state
 - [Theming & Styling](/tools/uikit/theming): Customize tokens, colors, and dark mode
-- [Building New Adapters](/ui-builder/building-adapters): Background on adapter packages and ecosystem integrations
+- [Building an adapter](/ecosystem-adapters/building-an-adapter): Background on adapter packages and ecosystem integrations

content/tools/uikit/index.mdx

@@ -75,7 +75,7 @@ flowchart TD
 
 ## Key Design Principles
 
-**Chain-agnostic core.** UIKit packages never import chain-specific logic. Blockchain details are handled entirely by ecosystem adapter packages. For background on the adapter pattern, see [Building New Adapters](/ui-builder/building-adapters).
+**Chain-agnostic core.** UIKit packages never import chain-specific logic. Blockchain details are handled entirely by ecosystem adapter packages.
 
 **Capability-driven, not monolithic.** Instead of one large adapter interface, the system defines small, focused [capabilities](/tools/uikit/architecture#capabilities) (addressing, query, execution, wallet, etc.) organized into tiers. Components request only the capabilities they need.
 
@@ -85,7 +85,7 @@ flowchart TD
 
 ## Ecosystem Adapter Integration
 
-UIKit connects to blockchains through ecosystem adapter packages, standalone packages that translate chain-specific operations into the shared capability model. For more background, see [Building New Adapters](/ui-builder/building-adapters).
+UIKit connects to blockchains through ecosystem adapter packages, standalone packages that translate chain-specific operations into the shared capability model.
 
 ```mermaid
 sequenceDiagram
@@ -107,8 +107,6 @@ sequenceDiagram
   React-->>App: UI reflects tx status
 ```
 
-For more background on how adapters work and how new ecosystem integrations are structured, see [Building New Adapters](/ui-builder/building-adapters).
-
 ## Requirements
 
 - **Node.js** >= 20.19.0
@@ -119,4 +117,4 @@ For more background on how adapters work and how new ecosystem integrations are
 
 - [Getting Started](/tools/uikit/getting-started): Install, configure, and render your first form
 - [Architecture](/tools/uikit/architecture): Deep dive into the capability model and runtime lifecycle
-- [Building New Adapters](/ui-builder/building-adapters): How chain-specific logic is decoupled from the UI
+- [Building an adapter](/ecosystem-adapters/building-an-adapter): How chain-specific logic is decoupled from the UI

content/tools/uikit/react-integration.mdx

@@ -269,4 +269,4 @@ sequenceDiagram
 
 - [Components](/tools/uikit/components): Browse all available components and form fields
 - [Theming & Styling](/tools/uikit/theming): Customize the visual design
-- [Building New Adapters](/ui-builder/building-adapters): Background on adapter packages and ecosystem integrations
+- [Building an adapter](/ecosystem-adapters/building-an-adapter): Background on adapter packages and ecosystem integrations