Would it be possible to move it to the Tools dropdown though? (The dropdown under “currently editing…”)

1. It’s clearly a tool
2. The dropdown has other page-level tools
3. It reserves the toolbar for row/column/module-level icons and Done

More information:
https://wordpress.org/support/topic/minor-ux-suggestion-move-to-the-tools-dropdown/