Recreate and render bottom sheet at every launch to avoid unexpected state (#7616)

Task/Issue URL:
https://app.asana.com/1/137249556945/task/1212992299141095?focus=true

### Description

> Note: Please, don't merge. The actual implementation is used to
discuss about one possible solution to fix a glitch with the browser
bottom sheet menu.

### Steps to test this PR

_Bottom sheet menu opened from bottom after a full expand_
- [x] Open the application
- [x] Turn on the new browser menu from appearance settings
- [x] Come back to browser screen and open the menu
- [x] Expand the menu and close it with a back button
- [x] Open the menu again, it should be opened from the bottom
- [x] Check the menu is well up dated for all modes (website, new tab,
duck.ai and custom tab)

### UI changes


https://github.com/user-attachments/assets/afbeadbe-c0e4-42bc-830b-eeaa7131d62b

Author: GerardPaligot

app/src/main/java/com/duckduckgo/app/browser/BrowserTabFragment.kt

@@ -1387,8 +1387,13 @@ class BrowserTabFragment :
     }
 
     private fun launchBrowserMenu(addExtraDelay: Boolean = false) {
-        val useBottomSheetMenu = viewModel.browserViewState.value?.useBottomSheetMenu ?: false
+        val viewState = viewModel.browserViewState.value
+        val useBottomSheetMenu = viewState?.useBottomSheetMenu ?: false
         if (useBottomSheetMenu && bottomSheetMenu != null) {
+            recreateBrowserMenu()
+            viewState?.let {
+                renderBrowserMenu(viewState = viewState, omnibarViewMode = omnibar.viewMode)
+            }
             launchBottomSheetMenu(addExtraDelay)
         } else if (!useBottomSheetMenu && popupMenu != null) {
             val isSplitOmnibarEnabled = omnibarRepository.omnibarType == OmnibarType.SPLIT