feat(nextjs): add support for typescript Next.js config file (#28709)

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## Current Behavior
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## Expected Behavior
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Fixes #28572

docs/generated/packages/next/documents/overview.md

@@ -60,6 +60,7 @@ The `@nx/next` plugin will create tasks for any project that has a Next.js confi
 - `next.config.js`
 - `next.config.cjs`
 - `next.config.mjs`
+- `next.config.ts`
 
 ### View Inferred Tasks
 

docs/shared/packages/next/plugin-overview.md

@@ -60,6 +60,7 @@ The `@nx/next` plugin will create tasks for any project that has a Next.js confi
 - `next.config.js`
 - `next.config.cjs`
 - `next.config.mjs`
+- `next.config.ts`
 
 ### View Inferred Tasks
 

packages/devkit/src/utils/add-plugin.spec.ts

@@ -54,7 +54,7 @@ describe('addPlugin', () => {
       },
     };
     createNodes = [
-      '**/next.config.{js,cjs,mjs}',
+      '**/next.config.{ts,js,cjs,mjs}',
       (_, { targetName }) => [
         [
           'app1/next.config.js',
@@ -300,7 +300,7 @@ describe('addPlugin', () => {
       });
 
       createNodes = [
-        '**/next.config.{js,cjs,mjs}',
+        '**/next.config.{ts,js,cjs,mjs}',
         () => [
           [
             'app1/next.config.js',

packages/next/src/executors/build/lib/create-next-config-file.ts

@@ -155,7 +155,12 @@ export function findNextConfigPath(
     );
   }
 
-  const candidates = ['next.config.js', 'next.config.cjs', 'next.config.mjs'];
+  const candidates = [
+    'next.config.js',
+    'next.config.cjs',
+    'next.config.mjs',
+    'next.config.ts',
+  ];
   for (const candidate of candidates) {
     if (existsSync(join(dirname, candidate))) return candidate;
   }

packages/next/src/plugins/plugin.ts

@@ -29,7 +29,7 @@ export interface NextPluginOptions {
   serveStaticTargetName?: string;
 }
 
-const nextConfigBlob = '**/next.config.{js,cjs,mjs}';
+const nextConfigBlob = '**/next.config.{ts,js,cjs,mjs}';
 
 function readTargetsCache(
   cachePath: string