Rename middleware -> proxy (#307)

Author: vincent-derks

skills/flags-sdk/references/nextjs.md

@@ -34,7 +34,7 @@ export const exampleFlag = flag({
 
 ## App Router
 
-Call the flag function from any async server component or middleware:
+Call the flag function from any async server component or proxy:
 
 ```tsx
 // app/page.tsx
@@ -95,7 +95,7 @@ export const myFlag = flag<boolean, Entities>({
 });
 ```
 
-`identify` receives normalized `headers` and `cookies` that work across App Router, Pages Router, and Middleware.
+`identify` receives normalized `headers` and `cookies` that work across App Router, Pages Router, and Proxy.
 
 ### Custom evaluation context
 
@@ -126,7 +126,7 @@ Not available in Pages Router.
 
 ## Precompute
 
-Keep pages static while using feature flags. Middleware evaluates flags and encodes results into the URL.
+Keep pages static while using feature flags. Proxy evaluates flags and encodes results into the URL.
 
 ### Prerequisites
 
@@ -155,7 +155,7 @@ export const showBanner = flag({
 export const marketingFlags = [showSummerSale, showBanner] as const;
 ```
 
-### Step 2: Precompute in middleware
+### Step 2: Precompute in proxy
 
 ```ts
 // proxy.ts
@@ -320,7 +320,7 @@ export default async function DashboardPage() {
 
 For static marketing pages with A/B tests, combine precompute with visitor ID generation:
 
-### Visitor ID in middleware
+### Visitor ID in proxy
 
 ```ts
 // proxy.ts
@@ -329,7 +329,7 @@ import { type NextRequest, NextResponse } from 'next/server';
 import { marketingFlags } from './flags';
 import { getOrGenerateVisitorId } from './get-or-generate-visitor-id';
 
-export async function marketingMiddleware(request: NextRequest) {
+export async function marketingProxy(request: NextRequest) {
   const visitorId = await getOrGenerateVisitorId(
     request.cookies,
     request.headers,
@@ -394,7 +394,7 @@ export const marketingAbTest = flag<boolean, Entities>({
 
 ## Proxy (Middleware)
 
-Use flags in middleware to rewrite requests to static page variants:
+Use flags in proxy to rewrite requests to static page variants:
 
 ```ts
 // proxy.ts