I want to search the customer list and change the component as is.

I am currently searching for a specific customer using this link /customer/$searchColumn/$searchTerm?page=4

This is what my controller returns

return Inertia::render('Dashboard', [ 'customers' => Customer::whereLike("nr", (string)$request)->paginate(10), ]);

Renders a paginated table of all found items.

Vue is currently very simple:

On the front end, I render a table using:

 
v-for="customer in $page.props.customers.data"
  

I want a search box at the top of the table that reloads the results as I type.

I don't know where to start.