JSFiddle - React, Tailwind, and code Playground

HTML

<input 
  type="text" 
  id="myInput"
  onkeyup="myFunction()" 
  placeholder="Search.." 
/>

JavaScript

let listItems = [
  {
    category: false,
    items: [
      { value: 1, label: 'Disabled'},
      { value: 2, label: 'Carole Poland'},
      { value: 3, label: 'Wanda Howard'},
    ],
  },
  {
    category: 'Suggestions',
    items: [
      { value: 4, label: 'Robin Counts'},
      { value: 5, label: 'Alex Doe'},
    ],
  },
  {
    category: 'Batiment',
    items: [
      { value: 6, label: 'Vincent Howi'},
      { value: 7, label: 'Alex Zusk'},
    ],
  }
];

//Resultat après filtre
let listItems = [
  	{ category: 'Batiment', items: [{ value: 7, label: 'Alex Zusk'}] },
    { category: 'Suggestions', items: [{ value: 5, label: 'Alex Doe'}] }
];


function myFunction() {
	 input = document.getElementById("myInput");
   filter = input.value.toUpperCase();
   console.log('Search :', filter);
	 	   
 		
 
}