Change /shop Route to /product

I need the public-facing “/shop” section of my Laravel site switched to “/product”. The template, styling, and current functionality must remain untouched—only the route and any hard-coded links should change. Every old “/shop” URL has to perform a proper 301 redirect to its corresponding “/product” URL so we keep search rankings and avoid broken links.

Deliverables
• Updated web.php (or route file) and any controller updates necessary to serve content from /product
• 301 redirects from each /shop path to the matching /product path, verified in the browser and via cURL
• Confirmation that no visual or functional differences appear after the switch

Please work directly in a separate Git branch or send the exact code diff so I can review and merge.