[docs] Remove trailing slash from the URLs (mui#748)

Author: vladmoroz

docs/data/components/alert-dialog/alert-dialog.mdx

@@ -47,7 +47,7 @@ Alert Dialogs are implemented using a collection of related components:
 
 ## Alert dialogs vs. dialogs
 
-The Alert Dialog is in many ways similar to the [Dialog](/components/react-dialog/) component.
+The Alert Dialog is in many ways similar to the [Dialog](/components/react-dialog) component.
 Alert dialogs should be used in cases where the normal user's workflow needs to be interrupted to get a response.
 Therefore alert dialogs are always modal and cannot be dismissed any other way than by pressing a button inside them.
 

docs/data/components/menu/menu.mdx

@@ -277,7 +277,7 @@ To visually separate items, use the `Menu.Separator` component:
 ```
 
 The Menu.Separator is a re-exported Separator component.
-See the [Separator docs](/components/react-separator/) to learn about its API.
+See the [Separator docs](/components/react-separator) to learn about its API.
 
 ## Animations
 

docs/data/getting-started/quick-start/quick-start.mdx

@@ -9,7 +9,7 @@ description: Get started with Base UI, a library of headless ("unstyled") React
 
 <Callout type="info">
   If you're using Next.js 13.4 or later, check out the [Next.js App Router
-  guide](/guides/next-js-app-router/).
+  guide](/guides/next-js-app-router).
 </Callout>
 
 ## Installation

docs/next.config.mjs

@@ -20,6 +20,7 @@ const rootPackage = loadPackageJson();
 
 /** @type {import('next').NextConfig} */
 const nextConfig = {
+  trailingSlash: false,
   env: {
     // docs-infra
     LIB_VERSION: rootPackage.version,

docs/scripts/reportBrokenLinks.mts

@@ -79,7 +79,7 @@ async function processMarkdownPage(filePath: string) {
   }
 }
 
-function pagePathToUrl(pagePath: string): string | null {
+function pagePathToUrl(pagePath: string, trailingSlash = false): string | null {
   // data/($1)/($2)/*.mdx
   const parts = /^data\/([^/]*)\/([^/]*)\/[^/]*.mdx?$/.exec(pagePath);
 
@@ -88,10 +88,10 @@ function pagePathToUrl(pagePath: string): string | null {
   }
 
   if (parts[1] === 'components') {
-    return `/components/react-${parts[2]}/`;
+    return `/components/react-${parts[2]}${trailingSlash ? '/' : ''}`;
   }
 
-  return `/${parts[1]}/${parts[2]}/`;
+  return `/${parts[1]}/${parts[2]}${trailingSlash ? '/' : ''}`;
 }
 
 async function getLinksAndAnchors(