Refactor web adapter to universal adapter

Rename the web adapter to universal adapter to better reflect its
framework-agnostic nature. This change involves updating package.json,
file paths, and documentation.

docs/content/docs/(documentation)/integration/(frameworks)/meta.json

@@ -1,12 +1,3 @@
 {
-  "pages": [
-    "nextjs",
-    "react-router",
-    "astro",
-    "sveltekit",
-    "tanstack-start",
-    "web",
-    "vite",
-    "nuxt"
-  ]
+  "pages": ["nextjs", "react-router", "astro", "sveltekit", "tanstack-start", "universal", "vite", "nuxt"]
 }

docs/content/docs/(documentation)/integration/(frameworks)/universal.mdx

@@ -1,14 +1,14 @@
 ---
-title: "Web Adapter"
+title: "Universal Adapter"
 description: "Bring bknd to any web framework or runtime"
 tags: ["documentation"]
 ---
 
-## What is the Web Adapter?
+## What is the Universal Adapter?
 
-The web adapter (`bknd/adapter/web`) is a framework/runtime agnostic adapter which can integrate `bknd` into **any** web framework or runtime — even ones without a dedicated adapter.
+The universal adapter (`bknd/adapter/universal`) is a framework/runtime agnostic adapter which can integrate `bknd` into **any** web framework or runtime — even ones without a dedicated adapter.
 
-**Use the web adapter when:**
+**Use the universal adapter when:**
 - Your framework doesn't have a dedicated bknd adapter
 - You want full control over your server setup
 - You're building a custom server or edge function
@@ -44,7 +44,7 @@ bun add bknd
 Start by creating a config file:
 
 ```typescript title="bknd.config.ts"
-import type { Config } from "bknd/adapter/web";
+import type { Config } from "bknd/adapter/universal";
 
 export default {
   connection: {
@@ -60,7 +60,7 @@ Use `Config<"api">` when you are using a React-based framework otherwise use `Co
 
 ### Helper Singleton
 ```typescript title="lib/bknd.ts"
-import { createBknd } from "bknd/adapter/web";
+import { createBknd } from "bknd/adapter/universal";
 import config from "../bknd.config";
 
 export const bknd = createBknd({ mode: "standalone", options: config }, process.env);
@@ -112,7 +112,7 @@ No server-side admin configuration needed. The admin UI runs entirely in the bro
 For non-React frameworks or standalone servers, enable the admin controller:
 
 ```typescript title="src/bknd.ts"
-import { createBknd } from "bknd/adapter/web";
+import { createBknd } from "bknd/adapter/universal";
 import config from "../bknd.config";
 
 export const bknd = createBknd({ mode: "standalone", options: config }, env);
@@ -128,7 +128,7 @@ You'll also need to serve the admin's static assets (JS, CSS). Choose one of thr
 Use Hono's platform-specific `serveStatic` in `bknd.config.ts` to serve assets from `node_modules/bknd/dist/static/`:
 
 ```typescript title="bknd.config.ts"
-import type { Config } from "bknd/adapter/web";
+import type { Config } from "bknd/adapter/universal";
 import { serveStatic } from "hono/bun"; // or "@hono/node-server/serve-static"
 
 export default {
@@ -173,7 +173,7 @@ Per-framework output paths:
 For environments without filesystem access:
 
 ```typescript title="bknd.config.ts"
-import type { Config } from "bknd/adapter/web";
+import type { Config } from "bknd/adapter/universal";
 import { serveStaticViaImport } from "bknd/adapter";
 
 export default {
@@ -274,4 +274,4 @@ export type Config<T extends AdapterModeWithOptions["mode"]> = Extract<
    Parameters<typeof createBknd>[0],
    { mode: T }
 >['options'];
-```
+```

docs/content/docs/(documentation)/integration/introduction.mdx

@@ -45,10 +45,10 @@ bknd seamlessly integrates with popular frameworks, allowing you to use what you
   href="/integration/nuxt"
 />
 
-<Card 
-  icon={<Icon icon="tabler:world" className="text-fd-primary !size-6" />} 
-  title="Web Adapter" 
-  href="/integration/web" 
+<Card
+  icon={<Icon icon="tabler:world" className="text-fd-primary !size-6" />}
+  title="Universal Web Adapter"
+  href="/integration/universal"
 />
 
   <Card title="Yours missing?" href="https://github.com/bknd-io/bknd/issues/new">

docs/content/docs/(documentation)/start.mdx

@@ -168,10 +168,10 @@ Pick your framework or runtime to get started.
   href="/integration/aws"
 />
 
-<Card 
-  icon={<Icon icon="tabler:world" className="text-fd-primary !size-6" />} 
-  title="Web Adapter" 
-  href="/integration/web" 
+<Card
+  icon={<Icon icon="tabler:world" className="text-fd-primary !size-6" />}
+  title="Universal Web Adapter"
+  href="/integration/universal"
 />
 
 <Card