Search Vehicle Position

The front end shows the same:

You can use this widget on the backend of the Elementor builder

You can config search on the top position or sidebar position on the Shop page follow step:

+ You can add the widget to the sidebar

+ You can add the widget to the sidebar

Note: you can add the slug name of the template begins "search-"

You can go to Admin / Appearance / Customize / Woocommerce / Archive / You can config search position on shop page

Top-search:

Sidebar-search: