How do I pass variables from one PHP page to another

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PHP

I have a PHP page where users can search for food using an API and then display the food information and calories and then click a button to add the food information to their day which is another PHP file and also stores them in the database however what I want to make is to keep that data in the other PHP file I know how to pass them with GET method but it does not store them there the GET value is updated each time I add food

What I have tried:

<?php if (isset($data)){?> //$data is the API response
  <div class="card text-center" style="margin:auto; width:50%; margin-top:100px; min-height:200px">
  <div class="card-header">
  <?php foreach ($data["items"] as $item){
      echo "". "food name:  ". $item['name'] . "<br>";
      $name=$item['name'];} ?>
  </div>
  <div class="card-body">
    <p class="card-text"> <?php
  foreach ($data["items"] as $item)
  {
      
      echo "Serving size: " . $item["serving_size_g"] . " gram  <br>";
      echo "Calories: ". $item["calories"] . "<br>";
      echo "Protein: ". $item["protein_g"] . " gram  <br>";
      echo "Carbohydrates: ". $item["carbohydrates_total_g"] . " gram  <br>";
      echo "Fat: ". $item["fat_total_g"] . " gram  <br>";

  }
    $name=$data['items'][0]['name'];   ?></p>
    
   <button><a href="addfood.php?name=<?=$name?>">Add Food</a></button>

  </div>
  <div class="card-footer text-muted">
  
  </div>
<?php } ?>
</div>
 
</body>
</html>`