JSFiddle - React, Tailwind, and code Playground

HTML

<div class="col" data-box-id="1">
<a href="#" >ССЫЛКА1</a>
</div>
<div class="col" data-box-id="2">
<a href="#" >ССЫЛКА 2</a>
</div>
<div class="col" data-box-id="3">
<a href="#" >ССЫЛКА 2</a>
</div>
<div class="col" data-box-id="4">
<a href="#" >ССЫЛКА 2</a>
</div>

JavaScript

var blockIds = [];
var blocks = document.querySelectorAll('[data-box-id] a');
blocks.forEach(block => block.addEventListener('click', e => {
blockIds.push(e.target.parentNode.getAttribute('data-box-id'));
e.target.parentNode.style.display = 'none';
localStorage.setItem('blocks', JSON.stringify(blockIds));
console.log(localStorage.getItem('blocks'));
}))