[docs] Update links and sidebar nav for Base UI components in Materia…

…l UI (#44581)

docs/data/material/components/click-away-listener/click-away-listener.md

@@ -15,5 +15,5 @@ githubLabel: 'component: ClickAwayListener'
 Please refer to the [Click-Away Listener](/base-ui/react-click-away-listener/) component page in the Base UI docs for demos and details on usage.
 
 Click-Away Listener is a part of the standalone [Base UI](/base-ui/) component library.
-It is currently re-exported from `@mui/material` for your convenience, but it will be removed from this package in a future major version, after `@mui/base` gets a stable release.
+It is currently re-exported from `@mui/material` for your convenience, but it will be removed from this package in a future major version after Base UI gets a stable release.
 :::

docs/data/material/components/no-ssr/no-ssr.md

@@ -14,5 +14,5 @@ components: NoSsr
 Please refer to the [No-SSR](/base-ui/react-no-ssr/) component page in the Base UI docs for demos and details on usage.
 
 No-SSR is a part of the standalone [Base UI](/base-ui/) component library.
-It is currently re-exported from `@mui/material` for your convenience, but it will be removed from this package in a future major version, after `@mui/base` gets a stable release.
+It is currently re-exported from `@mui/material` for your convenience, but it will be removed from this package in a future major version after Base UI gets a stable release.
 :::

docs/data/material/components/popper/popper.md

@@ -11,21 +11,21 @@ githubSource: packages/mui-material/src/Popper
 
 <p class="description">A Popper can be used to display some content on top of another. It's an alternative to react-popper.</p>
 
-Some important features of the `Popper` component:
+Some important features of the Popper component:
 
 - 🕷 Popper relies on the 3rd party library ([Popper.js](https://popper.js.org/)) for perfect positioning.
 - 💄 It's an alternative API to react-popper. It aims for simplicity.
-- The children is [`Portal`](/material-ui/react-portal/) to the body of the document to avoid rendering problems.
+- Its child element is a [Base UI Portal](/base-ui/react-portal/) on the body of the document to avoid rendering problems.
   You can disable this behavior with `disablePortal`.
-- The scroll isn't blocked like with the [`Popover`](/material-ui/react-popover/) component.
+- The scroll isn't blocked like with the [Popover](/material-ui/react-popover/) component.
   The placement of the popper updates with the available area in the viewport.
-- Clicking away does not hide the `Popper` component.
-  If you need this behavior, you can use [`ClickAwayListener`](/material-ui/react-click-away-listener/) - see the example in the [menu documentation section](/material-ui/react-menu/#menulist-composition).
+- Clicking away does not hide the Popper component.
+  If you need this behavior, you can use the [Base UI Click-Away Listener](/base-ui/react-click-away-listener/) - see the example in the [menu documentation section](/material-ui/react-menu/#menulist-composition).
 - The `anchorEl` is passed as the reference object to create a new `Popper.js` instance.
 
 {{"component": "@mui/docs/ComponentLinkHeader", "design": false}}
 
-## Basic popper
+## Basic Popper
 
 {{"demo": "SimplePopper.js"}}
 

docs/data/material/components/portal/portal.md

@@ -15,5 +15,5 @@ githubLabel: 'component: Portal'
 Please refer to the [Portal](/base-ui/react-portal/) component page in the Base UI docs for demos and details on usage.
 
 Portal is a part of the standalone [Base UI](/base-ui/) component library.
-It is currently re-exported from `@mui/material` for your convenience, but it will be removed from this package in a future major version, after `@mui/base` gets a stable release.
+It is currently re-exported from `@mui/material` for your convenience, but it will be removed from this package in a future major version after Base UI gets a stable release.
 :::

docs/data/material/components/text-fields/text-fields.md

@@ -44,8 +44,8 @@ The `helperText` prop can then be used to provide feedback to the user about the
 
 ## Multiline
 
-The `multiline` prop transforms the text field into a [TextareaAutosize](/material-ui/react-textarea-autosize/) element.
-Unless the `rows` prop is set, the height of the text field dynamically matches its content (using [TextareaAutosize](/material-ui/react-textarea-autosize/)).
+The `multiline` prop transforms the Text Field into a [Base UI Textarea Autosize](/base-ui/react-textarea-autosize/) element.
+Unless the `rows` prop is set, the height of the text field dynamically matches its content.
 You can use the `minRows` and `maxRows` props to bound it.
 
 {{"demo": "MultilineTextFields.js"}}

docs/data/material/components/textarea-autosize/textarea-autosize.md

@@ -15,5 +15,5 @@ githubLabel: 'component: TextareaAutosize'
 Please refer to the [Textarea Autosize](/base-ui/react-textarea-autosize/) component page in the Base UI docs for demos and details on usage.
 
 Textarea Autosize is a part of the standalone [Base UI](/base-ui/) component library.
-It is currently re-exported from `@mui/material` for your convenience, but it will be removed from this package in a future major version, after `@mui/base` gets a stable release.
+It is currently re-exported from `@mui/material` for your convenience, but it will be removed from this package in a future major version after Base UI gets a stable release.
 :::

docs/data/material/customization/shadow-dom/shadow-dom.md

@@ -32,7 +32,7 @@ ReactDOM.createRoot(shadowRootElement).render(
 
 ### 2. Theme
 
-Material UI components like `Menu`, `Dialog`, `Popover` and others use [`Portal`](/material-ui/react-portal/) to render a new "subtree" in a container outside of current DOM hierarchy.
+Material UI components like Menu, Dialog, Popover, and others use the [Base UI Portal](/base-ui/react-portal/) component to render a new "subtree" in a container outside of current DOM hierarchy.
 By default, this container is `document.body`.
 But since the styles are applied only inside of the Shadow DOM, we need to render portals inside the Shadow DOM container as well:
 

docs/data/material/integrations/interoperability/interoperability.md

@@ -376,7 +376,7 @@ const CustomizedSlider = styled(Slider)(
 
 ### Portals
 
-The [Portal](/material-ui/react-portal/) provides a first-class way to render children into a DOM node that exists outside the DOM hierarchy of the parent component.
+The [Base UI Portal](/base-ui/react-portal/) component provides a first-class way to render children into a DOM node that exists outside the DOM hierarchy of the parent component.
 Because of the way styled-components scopes its CSS, you may run into issues where styling is not applied.
 
 For example, if you attempt to style the `tooltip` generated by the [Tooltip](/material-ui/react-tooltip/) component,

docs/data/material/pages.ts

@@ -117,14 +117,22 @@ const pages: MuiPage[] = [
         pathname: '/material-ui/components/utils',
         subheader: 'utils',
         children: [
-          { pathname: '/material-ui/react-click-away-listener', title: 'Click-Away Listener' },
+          {
+            pathname: '/material-ui/react-click-away-listener',
+            title: 'Click-Away Listener',
+            deprecated: true,
+          },
           { pathname: '/material-ui/react-css-baseline', title: 'CSS Baseline' },
           { pathname: '/material-ui/react-modal' },
-          { pathname: '/material-ui/react-no-ssr', title: 'No SSR' },
+          { pathname: '/material-ui/react-no-ssr', title: 'No SSR', deprecated: true },
           { pathname: '/material-ui/react-popover' },
           { pathname: '/material-ui/react-popper' },
-          { pathname: '/material-ui/react-portal' },
-          { pathname: '/material-ui/react-textarea-autosize', title: 'Textarea Autosize' },
+          { pathname: '/material-ui/react-portal', deprecated: true },
+          {
+            pathname: '/material-ui/react-textarea-autosize',
+            title: 'Textarea Autosize',
+            deprecated: true,
+          },
           { pathname: '/material-ui/transitions' },
           { pathname: '/material-ui/react-use-media-query', title: 'useMediaQuery' },
         ],