fix: Invisible content after closing the settings on mobile (#15971)

## Description

- This PR address https://github.com/twentyhq/twenty/issues/15958
- updated settings and main with condition to navigate to
defaultHomePagePath for main page
- updated search with context before opening search hence it resolve the
issue of search showing blank on settings page


## Before


https://github.com/user-attachments/assets/26eb50a0-fb59-4f70-9647-b8150dfdfa40




## After



https://github.com/user-attachments/assets/436fd869-fc0f-4921-98b9-d5eafa67a07f

---------

Co-authored-by: Marie Stoppa <marie.stoppa@essec.edu>

packages/twenty-front/src/modules/navigation/components/MobileNavigationBar.tsx

@@ -1,8 +1,14 @@
 import { useCommandMenu } from '@/command-menu/hooks/useCommandMenu';
 import { useOpenRecordsSearchPageInCommandMenu } from '@/command-menu/hooks/useOpenRecordsSearchPageInCommandMenu';
 import { isCommandMenuOpenedState } from '@/command-menu/states/isCommandMenuOpenedState';
+import { MAIN_CONTEXT_STORE_INSTANCE_ID } from '@/context-store/constants/MainContextStoreInstanceId';
+import { contextStoreCurrentObjectMetadataItemIdComponentState } from '@/context-store/states/contextStoreCurrentObjectMetadataItemIdComponentState';
+import { useDefaultHomePagePath } from '@/navigation/hooks/useDefaultHomePagePath';
 import { useOpenSettingsMenu } from '@/navigation/hooks/useOpenSettings';
+import { useFilteredObjectMetadataItems } from '@/object-metadata/hooks/useFilteredObjectMetadataItems';
 import { isNavigationDrawerExpandedState } from '@/ui/navigation/states/isNavigationDrawerExpanded';
+import { useRecoilComponentState } from '@/ui/utilities/state/component-state/hooks/useRecoilComponentState';
+import { useNavigate } from 'react-router-dom';
 import { useRecoilState } from 'recoil';
 import {
   type IconComponent,
@@ -17,6 +23,8 @@ import { currentMobileNavigationDrawerState } from '../states/currentMobileNavig
 type NavigationBarItemName = 'main' | 'search' | 'tasks' | 'settings';
 
 export const MobileNavigationBar = () => {
+  const navigate = useNavigate();
+  const { defaultHomePagePath } = useDefaultHomePagePath();
   const [isCommandMenuOpened] = useRecoilState(isCommandMenuOpenedState);
   const { closeCommandMenu } = useCommandMenu();
   const { openRecordsSearchPage } = useOpenRecordsSearchPageInCommandMenu();
@@ -26,6 +34,14 @@ export const MobileNavigationBar = () => {
   const [currentMobileNavigationDrawer, setCurrentMobileNavigationDrawer] =
     useRecoilState(currentMobileNavigationDrawerState);
   const { openSettingsMenu } = useOpenSettingsMenu();
+  const { alphaSortedActiveNonSystemObjectMetadataItems } =
+    useFilteredObjectMetadataItems();
+
+  const [, setContextStoreCurrentObjectMetadataItemId] =
+    useRecoilComponentState(
+      contextStoreCurrentObjectMetadataItemIdComponentState,
+      MAIN_CONTEXT_STORE_INSTANCE_ID,
+    );
 
   const activeItemName = isNavigationDrawerExpanded
     ? currentMobileNavigationDrawer
@@ -49,12 +65,31 @@ export const MobileNavigationBar = () => {
           (previousIsOpen) => activeItemName !== 'main' || !previousIsOpen,
         );
         setCurrentMobileNavigationDrawer('main');
+
+        if (isSettingsPage) {
+          navigate(defaultHomePagePath);
+        }
       },
     },
     {
       name: 'search',
       Icon: IconSearch,
-      onClick: openRecordsSearchPage,
+      onClick: () => {
+        setIsNavigationDrawerExpanded(false);
+        closeCommandMenu();
+
+        if (isSettingsPage) {
+          const firstObjectMetadataItem =
+            alphaSortedActiveNonSystemObjectMetadataItems[0];
+          if (firstObjectMetadataItem !== undefined) {
+            setContextStoreCurrentObjectMetadataItemId(
+              firstObjectMetadataItem.id,
+            );
+          }
+        }
+
+        openRecordsSearchPage();
+      },
     },
     {
       name: 'settings',