The products persist in local storage after being removed

    cart.js=
        import {products} from"../html/products.js";


        export const cart=JSON.parse(localStorage.getItem('cart')) ||[
            {}
        ];


        let cartHTML="";
        cart.forEach(x=>{
            cartHTML+=`<div class="product" data-product-id="${x.id}">
            <div class="image">
            <img class="img" src="${x.image}" alt="Product Image">
            </div>
            <div class="content">
                <h2>${x.name}</h2>
                <p>Price:Rs.${x.price} </p>
                <p>Quantity:<p id="quantity">${x.quantity}</p></p>
                <button class="update">update</button><button class="delete">delete</button>

                <br><br>
            </div>
            </div>`
            });
        document.querySelector(".totalHTML").innerHTML=cartHTML;

        export function addToCart(event){
        const ProductId= event.target.closest('.productParent').querySelector('.products').dataset.productId;
        const Product= products.find(product=>product.id===ProductId);

        const dropDownElement = event.target.closest('.content').querySelector('.select');
        let selectedValue = Number(dropDownElement.value);

        const matchingProduct =cart.find(x=>x.id===Product.id)
        if(matchingProduct){
            document.querySelector(`.product[data-product-id="${ProductId}"] #quantity`)+=selectedValue;
        }else if(Product) {
            Product.quantity = selectedValue;
            cart.push(Product);
            console.log("pushed");
        }
        localStorage.setItem('cart', JSON.stringify(cart));
        };

        const deleteBTNs=document.querySelectorAll('.delete');
        deleteBTNs.forEach((x=>{
            x.addEventListener("click", (e)=>{
                const nearProduct =e.target.closest('.product')
                const ProductId= nearProduct.dataset.productId;
                console.log(nearProduct.dataset)
                const updatedCart=cart.filter(x=>x.id !== ProductId)
                console.log(updatedCart)
                // localStorage.setItem("cart", JSON.stringify(updatedCart))
                nearProduct.remove();
                localStorage.setItem("cart", JSON.stringify(updatedCart));
                // console.log(JSON.parse(localStorage.getItem('cart')))
            })}));

    script.js(main script file)
            import {products} from"../html/products.js";
            import {addToCart, toDelete, } from"../html/cart.js";


            let productsHTML="";
            products.forEach(x => {
            productsHTML+=`
                <div class=productParent><div class="products" data-product-id="${x.id}">

                <div class="image">
                    <img class="img"src="${x.image}" alt="">
                </div>
                <div class="content">
                <div class="productName">${x.name}</div>
                <div class="productPrice">Rs.${x.price}</div>
                <select name="number"  class="select" >
                    <option value="1">1</option>
                    <option value="2">2</option>
                    <option value="3">3</option>
                    <option value="4">4</option>
                    <option value="5">5</option>
                    <option value="6">6</option>
                    <option value="7">7</option>
                    <option value="8">8</option>
                    <option value="9">9</option>
                    <option value="10">10</option>
                </select>
                <button class="addtocart" >Add To Cart</button>
                </div>
            </div>
            </div>`
            });
            document.querySelector(".totalHTML").innerHTML=productsHTML;



            const buttons = document.querySelectorAll('.addtocart');

            buttons.forEach(btn => {
                btn.addEventListener("click", (e) => {

                    addToCart(e);
                    
                    //for cart Quantity 
                    const selectElement = e.target.closest('.content').querySelector('.select');
                    let selectedValue = Number(selectElement.value);
                    cartMath(selectedValue);
                });
            });

            let cartQuantity=0;
            export function cartMath(x){
            cartQuantity+=x;
            document.getElementById("cartQuantity").innerHTML=cartQuantity;
            };

    homepage.html(main html)
            <!DOCTYPE html>
            <html lang="en">
            <head>
                <meta charset="UTF-8">
                <meta http-equiv="X-UA-Compatible" content="IE=edge">
                <meta name="viewport" content="width=device-width, initial-scale=1.0">
                <title>Document</title>
                <link rel="stylesheet" href="/css/homepage.css">
            </head>
            <body>
                <div class="nav"><a href="../html/cartpage.html">Cart</a><span id="cartQuantity">00</span>
                </div>
                    <div class="totalHTML">
                        <!-- html that is now in script.js-->
                    </div>
            </body>

            <script src="script.js" type="module"></script>
            <script src="products.js" type="module"></script>
            <script src="cart.js" type="module"></script>


            </html>

    cartpage.html(cart html)
            <!DOCTYPE html>
            <html lang="en">
            <head>
                <meta charset="UTF-8">
                <meta name="viewport" content="width=device-width, initial-scale=1.0">
                <link rel="stylesheet" href="../css/cartstyle.css">
                <title>Add to Cart</title>
            </head>
            <body>
            <div class="totalHTML">
            </div>

            <div class="cart-summary">
                <h2>Cart Summary</h2>
                <p>Total Quantity: <span id="total-quantity">0</span></p>
                <p>Total Sum: Rs. <span id="total-sum">0</span></p>
                <p>Delivery Charge: Rs. 250</p>
                <p>Dashain Offer: Rs. -50</p>
                <h3>Total Payable: Rs. <span id="total-payable">0</span></h3>
                <button class="buynow">Buy Now</button>
            </div>

            </body>
            <script src="cart.js" type="module"></script>
            </html>

    products.js(the storing of items)
        export const products=[
            {
                id:"1",
                name:"shoe",
                image:"images/products/knit-athletic-sneakers-gray.jpg",
                price:1200,
                quantity:1,
            },
            {
                id:"2",
                name:"shirt",
                image:"images/products/adults-plain-cotton-tshirt-2-pack-teal.jpg",
                price:1000,
                quantity:1,
            }, 
            {
                id:"3",
                name:"Sandals",
                image:"images/products/women-beach-sandals.jpg",
                price:200,
                quantity:1,
            },
            {
                id:"4",
                name:"Dinner Plate",
                image:"images/products/6-piece-white-dinner-plate-set.jpg",
                price:2750,
                quantity:1,
            },
        ];

So I tried putting the localStorage here and there but didnt work.
i got a suggestion to rerender but i couldnt do it.
another thing i think would work is after clicking delete update the html in cart.js file itself

(please make the deleted product not appear after deleting and reloading the carthtml page)