fix: some style

frontend/appflowy_web_app/src/components/editor/components/blocks/database/DatabaseBlock.tsx

@@ -100,7 +100,7 @@ export const DatabaseBlock = memo(
               >
                 {notFound ? (
                   <>
-                    <div className={'text-sm font-medium'}>{t('publish.hasNotBeenPublished')}</div>
+                    <div className={'text-base font-medium'}>{t('publish.hasNotBeenPublished')}</div>
                   </>
                 ) : (
                   <CircularProgress />

frontend/appflowy_web_app/src/components/publish/header/BreadcrumbItem.tsx

@@ -43,7 +43,7 @@ function BreadcrumbItem({ crumb, disableClick = false }: { crumb: Crumb; disable
 
   return (
     <div
-      className={`flex items-center gap-1 ${!disableClick ? 'cursor-pointer' : 'flex-1 overflow-hidden'}`}
+      className={`flex items-center gap-1 text-sm ${!disableClick ? 'cursor-pointer' : 'flex-1 overflow-hidden'}`}
       onClick={async () => {
         if (disableClick) return;
         try {

frontend/appflowy_web_app/src/components/publish/header/PublishViewHeader.tsx

@@ -1,6 +1,8 @@
 import { usePublishContext } from '@/application/publish';
+import { openOrDownload } from '@/components/publish/header/utils';
 import React, { useMemo } from 'react';
 import Breadcrumb from './Breadcrumb';
+import { ReactComponent as Logo } from '@/assets/logo.svg';
 
 export function PublishViewHeader() {
   const viewMeta = usePublishContext()?.viewMeta;
@@ -24,9 +26,12 @@ export function PublishViewHeader() {
   }, [viewMeta]);
 
   return (
-    <div className={'appflowy-top-bar flex h-[64px] p-4'}>
+    <div className={'appflowy-top-bar flex h-[64px] px-5'}>
       <div className={'flex w-full items-center justify-between overflow-hidden'}>
         <Breadcrumb crumbs={crumbs} />
+        <button onClick={openOrDownload}>
+          <Logo className={'h-6 w-6'} />
+        </button>
       </div>
     </div>
   );

frontend/appflowy_web_app/src/components/publish/header/utils.ts

@@ -0,0 +1,99 @@
+export function openOrDownload() {
+  const getDeviceType = () => {
+    const ua = navigator.userAgent;
+
+    if (/(iPad|iPhone|iPod)/g.test(ua)) {
+      return 'iOS';
+    } else if (/Android/g.test(ua)) {
+      return 'Android';
+    } else {
+      return 'Desktop';
+    }
+  };
+
+  const deviceType = getDeviceType();
+  const isMobile = deviceType !== 'Desktop';
+  const getFallbackLink = () => {
+    if (deviceType === 'iOS') {
+      return 'https://testflight.apple.com/join/6CexvkDz';
+    } else if (deviceType === 'Android') {
+      return 'https://play.google.com/store/apps/details?id=io.appflowy.appflowy';
+    } else {
+      return 'https://appflowy.io/download/#pop';
+    }
+  };
+
+  const getDuration = () => {
+    switch (deviceType) {
+      case 'iOS':
+        return 250;
+      default:
+        return 1500;
+    }
+  };
+
+  const APPFLOWY_SCHEME = 'appflowy-flutter://';
+
+  const iframe = document.createElement('iframe');
+
+  iframe.style.display = 'none';
+  iframe.src = APPFLOWY_SCHEME;
+
+  const openSchema = () => {
+    if (isMobile) return (window.location.href = APPFLOWY_SCHEME);
+    document.body.appendChild(iframe);
+    setTimeout(() => {
+      document.body.removeChild(iframe);
+    }, 1000);
+  };
+
+  const openAppFlowy = () => {
+    openSchema();
+
+    const initialTime = Date.now();
+    let interactTime = initialTime;
+    let waitTime = 0;
+    const duration = getDuration();
+
+    const updateInteractTime = () => {
+      interactTime = Date.now();
+    };
+
+    document.removeEventListener('mousemove', updateInteractTime);
+    document.removeEventListener('mouseenter', updateInteractTime);
+
+    const checkOpen = setInterval(() => {
+      waitTime = Date.now() - initialTime;
+
+      if (waitTime > duration) {
+        clearInterval(checkOpen);
+        if (isMobile || Date.now() - interactTime < duration) {
+          window.open(getFallbackLink(), '_current');
+        }
+      }
+    }, 20);
+
+    if (!isMobile) {
+      document.addEventListener('mouseenter', updateInteractTime);
+      document.addEventListener('mousemove', updateInteractTime);
+    }
+
+    document.addEventListener('visibilitychange', () => {
+      const isHidden = document.hidden;
+
+      if (isHidden) {
+        clearInterval(checkOpen);
+      }
+    });
+
+    window.onpagehide = () => {
+      clearInterval(checkOpen);
+    };
+
+    window.onbeforeunload = () => {
+      clearInterval(checkOpen);
+    };
+  };
+
+  openAppFlowy();
+}