[Feature] Reorder New Tab three-dot menu and add navigation

[eliserichards]

Meta: #17796
Followup to #17771

UX point of contact: @violasong (Victoria)

Figma designs (bottom right, labeled "Final design"): https://www.figma.com/file/NHu4cTmzfYgi3QJz5DIDWD/Fenix-Toolbar-Menus?node-id=0%3A1

Acceptance criteria

This should be the HomeMenu.kt file

• Icons are not being removed. We are waiting on designs to reflect this
• Reorder the menu items to match designs. From top to bottom:
  • Bookmarks
  • History
  • Downloads
  • Extensions (this is a label change for addons. Followup [Feature] Three-dot menu extensions item #17799)
  • Sign in to sync (followup: [Feature] Three-dot menu Sync sign-in item #17798)
  • Reconnect to Sync
  • Desktop site + toggle (followup: [Feature] Request desktop site from new tab menu #17800)
  • What's new
  • Help
  • Settings
  • Quit
• Add dividing lines to match designs
• This implementation should add a sticky navigation section to the bottom of the new tab three-dot menu. (Main menu navigation added in [Feature] Add navigation to three-dot menu #17802)
  • The user should be able to navigate back to the new tab page, then open this three-dot menu to navigate forwards again
  • The back button should be unclickable/grayed out when you are on the new tab page
  • The location of this should match the Top/Bottom orientation of the toolbar setting

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Current (left) vs new design (right)
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┆Issue is synchronized with this Jira Task

[kglazko]

Adding a ticket for UI tests update since this could be a breaking change #17840

[kglazko]

@eliserichards @violasong What should we be doing for toggle to desktop in this menu? I only realized while coding it that in the previous PR where this menu is open when a tab is open, we use this private val selectedSession: TabSessionState? get() = store.state.selectedTab which makes me wonder what to do when there's no selected tab.

[violasong]

Sorry for the delay on this!

Nothing needs to happen (visually) on the new tab page when tapping the Desktop toggle. It should just set it up for the next page(s) loaded.

CCing @vesta to double-check that adding a desktop view toggle to the homescreen menu still sounds good. (@kbrosnan suggested it can be helpful to be able to set this toggle before loading a page.)

[eliserichards]

@kglazko I broke out the implementation of desktop site into another story, if you want to just add the item in this PR: #17800