Handling request from a form with multiple inputs

I’m trying to make a simple filter for my e commerce website. When you click on an input tag of a form, it will send a request to server side to handle the logic. However, I’m still stuck how to get the value of the clicked input among other input fields through request. I’m using laravel as my back-end language

Here is my blade file:

<form id="product-filter" method="GET" class="w-1/5 flex flex-col gap-3">
        <div id="cate_selector" class="shadow-lg bg-slate-200 rounded-xl w-full h-fit px-2 pb-2 flex flex-col gap-2 items-center">
            <p class="uppercase font-bold text-xl mt-2">Danh mục</p>
            <div class="bg-white w-fit px-2 rounded-full">
                <input class="text-sm p-1 bg-transparent focus:outline-none" type="text" placeholder="Tìm kiếm danh mục">
                <i class="fa-solid text-sm fa-magnifying-glass"></i>
            </div>
            <input value="All" name="applied_filter" type="submit" class="filter-button flex justify-between capitalize text-slate-600 font-semibold text-start gap-1 w-full mx-2 p-1 rounded-lg hover:bg-slate-300 transition-colors">
            @foreach($categories as $category)
                <input value="{{$category->name}}" name="applied_filter" type="submit" class="filter-button flex justify-between capitalize text-slate-600 font-semibold text-start gap-1 w-full mx-2 p-1 rounded-lg hover:bg-slate-300 transition-colors">
            @endforeach
        </div>
        <div id="price_filter" class="shadow-lg bg-slate-200 rounded-xl w-full h-fit px-2 pb-2 flex flex-col items-center">
            Price Filter
            <div>
                <div id="slider" class="w-40"></div>
                <p id="minPrice">Min Price: $<span></span></p>
                <p id="maxPrice">Max Price: $<span></span></p>
            </div>
            <button type="submit">Apply</button>
        </div>
</form>

And the logic method in server side:

public function filterProduct(Request $request)
    {   
        $category = $request->input('applied_filter');

        $choosen_cart = ProductCategory::select('id')->where('name', $category)->first();
        $products = Product::where('category_id', $choosen_cart)->paginate(8);

        return view('product_gallery', compact('products'))->with('cate', $category);

    }

I was trying to access the clicked input’s value using $category = $request->input('applied_filter'); but it seems to return null value.