✨(frontend) hide search and create doc button if not logged

- Added visibility checks for 'search' and 'New doc' buttons in the
document visibility tests.
- Updated LeftPanelHeader to conditionally render 'search' and 'New doc'
buttons based on user authentication status, improving user experience
and access control.

src/frontend/apps/e2e/__tests__/app-impress/doc-visibility.spec.ts

@@ -232,6 +232,9 @@ test.describe('Doc Visibility: Public', () => {
       cardContainer.getByText('Public document', { exact: true }),
     ).toBeVisible();
 
+    await expect(page.getByRole('button', { name: 'search' })).toBeVisible();
+    await expect(page.getByRole('button', { name: 'New doc' })).toBeVisible();
+
     const urlDoc = page.url();
 
     await page
@@ -245,6 +248,8 @@ test.describe('Doc Visibility: Public', () => {
     await page.goto(urlDoc);
 
     await expect(page.locator('h2').getByText(docTitle)).toBeVisible();
+    await expect(page.getByRole('button', { name: 'search' })).toBeHidden();
+    await expect(page.getByRole('button', { name: 'New doc' })).toBeHidden();
     await expect(page.getByRole('button', { name: 'Share' })).toBeHidden();
     const card = page.getByLabel('It is the card information');
     await expect(card).toBeVisible();