Is there a way to filter an item in a array inside another array

Basicaly I have an object that has an array in it and I have a superior array of this object.

The object is the following.

category: {
   name,
   items: [{
      id,
      name,
      price,
      image,
   }],
}

This array can look like:

[{
   name: "Category 1",
   items: [{
      id: 1,
      name: "Item 1 of category 1",
      price: 12.34,
      image: "/path/to/image",
   },
   {
      id: 2,
      name: "Item 2 of category 1",
      price: 56.78,
      image: "/path/to/image2",
   }]
},
{
   name: "Category 2",
   items: [{
      id: 3,
      name: "Item 1 of category 2",
      price: 87.65,
      image: "/path/to/image3",
   },
   {
      id: 4,
      name: "Item 2 of category 1",
      price: 43.21,
      image: "/path/to/image4",
   }]
}]

My question is, it's possible to search for the id since I have an array with all of this data.

Currently I am solving the problem with the following code:

var price = 0;
const menu = [];
state.user.menu.map((item, k) => {
  item.category.items.forEach((itm) => menu.push(itm));

  return null;
});

state.user.items.forEach((item) => {
  price += menu.filter((itm) => itm.id === item.id)[0].price * item.quantity;
});

This basicaly copies every item in the array inside of the object and ignores the category name so I only have a big array.

For what I need now, I need to correlate each item with the category name, so, I can't do as it is now. Basically, I have a list of Ids and I need to display them with the corresponding category that is in this array.

(Items to search)
[1,3,4]

(Expected Result)
[{
   name: "Category 1",
   items: [{
      id: 1,
      name: "Item 1 of category 1",
      price: 12.34,
      image: "/path/to/image",
   }]
},
{
   name: "Category 2",
   items: [{
      id: 3,
      name: "Item 1 of category 2",
      price: 87.65,
      image: "/path/to/image3",
   },
   {
      id: 4,
      name: "Item 2 of category 1",
      price: 43.21,
      image: "/path/to/image4",
   }]
}]

Any sugestions is welcome, thanks.

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