Blur on SearchBar doesn't occurs with Tab.Navigator - react-native

Question

I have a Tab.Navigator made with createBottomTabNavigator and I'm trying to implement a SearchBar inside it. But the blur event never happen when I click outside the SearchBar.
It's working well when I submit the search action.
Here's my Tab.Navigator :
import { createBottomTabNavigator } from '#react-navigation/bottom-tabs';
import {HomeStack} from './home';
import {SearchStack} from './search';
import {AddStack} from './add';
import {NewsStack} from './news';
import {ProfileStack} from './profile';
import Ionicons from 'react-native-vector-icons/Ionicons';
import colors from '../styles/colors';
const Tab = createBottomTabNavigator();
export function MainStack(){
return (
<Tab.Navigator
initialRouteName="Home"
activeColor="#333"
inactiveColor="#333"
screenOptions={({ route }) => ({
tabBarIcon: ({ color, size }) => {
let iconName;
if (route.name === 'Accueil') {
iconName = 'compass-outline';
}
else if (route.name === 'Rechercher') {
iconName = 'search-outline';
}
else if (route.name === 'Ajouter') {
iconName = 'add-circle-outline';
}
else if (route.name === 'Actus') {
iconName = 'newspaper-outline';
}
else if (route.name === 'Profil') {
iconName = 'person-circle-outline';
}
// You can return any component that you like here!
return <Ionicons name={iconName} size={size} color={color} />;
},
tabBarActiveTintColor: colors.primaryColor,
tabBarStyle: {
paddingBottom: 5,
}
})}
>
<Tab.Screen name="Accueil" component={HomeStack} options={{headerShown:false}}/>
<Tab.Screen name="Rechercher" component={SearchStack} options={{headerShown:false}}/>
<Tab.Screen name="Ajouter" component={AddStack} options={{headerShown:false}}/>
<Tab.Screen name="Actus" component={NewsStack} options={{headerShown:false}}/>
<Tab.Screen name="Profil" component={ProfileStack} options={{headerShown:false}}/>
</Tab.Navigator>
);
}
And my SearchBar :
<SearchBar
lightTheme={ scheme === 'dark' ? false : true}
onSubmitEditing={() => submitSearch(0)}
onChangeText={updateSearch}
value={search}
placeholder="Rechercher"
round
containerStyle={{backgroundColor: 'transparent', borderTopWidth:0, borderBottomWidth:0}}
onCancel={() => {setResults([]); setSearch(''); setSearched(false); setSelectedIndex(0);}}
onClear={() => {setResults([]); setSearch(''); setSearched(false); setSelectedIndex(0);}}
/>