Try toggle instead of dropdown to show stylebook.

packages/edit-site/src/components/editor/index.js

@@ -20,7 +20,6 @@ import { privateApis as blockLibraryPrivateApis } from '@wordpress/block-library
 import { useCallback, useMemo } from '@wordpress/element';
 import { store as noticesStore } from '@wordpress/notices';
 import { privateApis as routerPrivateApis } from '@wordpress/router';
-import { store as preferencesStore } from '@wordpress/preferences';
 import { decodeEntities } from '@wordpress/html-entities';
 import { Icon, arrowUpLeft } from '@wordpress/icons';
 import { store as blockEditorStore } from '@wordpress/block-editor';
@@ -130,21 +129,18 @@ export default function EditSiteEditor( { isPostsList = false } ) {
 	const { postType, postId, context } = entity;
 	const {
 		supportsGlobalStyles,
-		showIconLabels,
 		editorCanvasView,
 		currentPostIsTrashed,
 		hasSiteIcon,
 	} = useSelect( ( select ) => {
 		const { getEditorCanvasContainerView } = unlock(
 			select( editSiteStore )
 		);
-		const { get } = select( preferencesStore );
 		const { getCurrentTheme, getEntityRecord } = select( coreDataStore );
 		const siteData = getEntityRecord( 'root', '__unstableBase', undefined );
 
 		return {
 			supportsGlobalStyles: getCurrentTheme()?.is_block_theme,
-			showIconLabels: get( 'core', 'showIconLabels' ),
 			editorCanvasView: getEditorCanvasContainerView(),
 			currentPostIsTrashed:
 				select( editorStore ).getCurrentPostAttribute( 'status' ) ===
@@ -267,9 +263,7 @@ export default function EditSiteEditor( { isPostsList = false } ) {
 					postId={ postWithTemplate ? context.postId : postId }
 					templateId={ postWithTemplate ? postId : undefined }
 					settings={ settings }
-					className={ clsx( 'edit-site-editor__editor-interface', {
-						'show-icon-labels': showIconLabels,
-					} ) }
+					className="edit-site-editor__editor-interface"
 					styles={ styles }
 					customSaveButton={
 						_isPreviewingTheme && <SaveButton size="compact" />

packages/edit-site/src/components/layout/index.js

@@ -32,7 +32,8 @@ import { privateApis as coreCommandsPrivateApis } from '@wordpress/core-commands
 import { privateApis as routerPrivateApis } from '@wordpress/router';
 import { PluginArea } from '@wordpress/plugins';
 import { store as noticesStore } from '@wordpress/notices';
-import { useDispatch } from '@wordpress/data';
+import { useDispatch, useSelect } from '@wordpress/data';
+import { store as preferencesStore } from '@wordpress/preferences';
 
 /**
  * Internal dependencies
@@ -70,6 +71,15 @@ function Layout() {
 		triggerAnimationOnChange: routeKey + '-' + canvas,
 	} );
 
+	const { showIconLabels } = useSelect( ( select ) => {
+		return {
+			showIconLabels: select( preferencesStore ).get(
+				'core',
+				'showIconLabels'
+			),
+		};
+	} );
+
 	const [ backgroundColor ] = useGlobalStyle( 'color.background' );
 	const [ gradientValue ] = useGlobalStyle( 'color.gradient' );
 	const previousCanvaMode = usePrevious( canvas );
@@ -93,6 +103,7 @@ function Layout() {
 					navigateRegionsProps.className,
 					{
 						'is-full-canvas': canvas === 'edit',
+						'show-icon-labels': showIconLabels,
 					}
 				) }
 			>

packages/edit-site/src/components/sidebar-global-styles-wrapper/index.js

@@ -5,11 +5,9 @@ import { __ } from '@wordpress/i18n';
 import { useMemo, useState } from '@wordpress/element';
 import { privateApis as routerPrivateApis } from '@wordpress/router';
 import { useViewportMatch } from '@wordpress/compose';
-import {
-	Button,
-	privateApis as componentsPrivateApis,
-} from '@wordpress/components';
+import { Button } from '@wordpress/components';
 import { addQueryArgs } from '@wordpress/url';
+import { seen } from '@wordpress/icons';
 
 /**
  * Internal dependencies
@@ -21,44 +19,21 @@ import StyleBook from '../style-book';
 import { STYLE_BOOK_COLOR_GROUPS } from '../style-book/constants';
 
 const { useLocation, useHistory } = unlock( routerPrivateApis );
-const { Menu } = unlock( componentsPrivateApis );
 
 const GlobalStylesPageActions = ( {
 	isStyleBookOpened,
 	setIsStyleBookOpened,
 } ) => {
 	return (
-		<Menu
-			trigger={
-				<Button __next40pxDefaultSize variant="tertiary" size="compact">
-					{ __( 'Preview' ) }
-				</Button>
-			}
-		>
-			<Menu.RadioItem
-				value
-				checked={ isStyleBookOpened }
-				name="styles-preview-actions"
-				onChange={ () => setIsStyleBookOpened( true ) }
-				defaultChecked
-			>
-				<Menu.ItemLabel>{ __( 'Style book' ) }</Menu.ItemLabel>
-				<Menu.ItemHelpText>
-					{ __( 'Preview blocks and styles.' ) }
-				</Menu.ItemHelpText>
-			</Menu.RadioItem>
-			<Menu.RadioItem
-				value={ false }
-				checked={ ! isStyleBookOpened }
-				name="styles-preview-actions"
-				onChange={ () => setIsStyleBookOpened( false ) }
-			>
-				<Menu.ItemLabel>{ __( 'Site' ) }</Menu.ItemLabel>
-				<Menu.ItemHelpText>
-					{ __( 'Preview your site.' ) }
-				</Menu.ItemHelpText>
-			</Menu.RadioItem>
-		</Menu>
+		<Button
+			isPressed={ isStyleBookOpened }
+			icon={ seen }
+			label={ __( 'Style Book' ) }
+			onClick={ () => {
+				setIsStyleBookOpened( ! isStyleBookOpened );
+			} }
+			size="compact"
+		/>
 	);
 };
 

packages/edit-site/src/components/sidebar-global-styles-wrapper/style.scss

@@ -33,3 +33,25 @@
 		color: $gray-900;
 	}
 }
+
+.show-icon-labels {
+	.edit-site-styles .edit-site-page-content {
+		.edit-site-page-header__actions {
+			.components-button.has-icon {
+				width: auto;
+				padding: 0 $grid-unit-10;
+
+				// Hide the button icons when labels are set to display...
+				svg {
+					display: none;
+				}
+				// ... and display labels.
+				&::after {
+					content: attr(aria-label);
+					font-size: $helptext-font-size;
+				}
+			}
+
+		}
+	}
+}