Header not displaying as wanted

Site URL: https://portreecellars.com

I am trying to display two icons in the header (Login and cart) that are linked directly to our point of sale system (Commerce7). I have added commerce7's recommended code injection to get the Login/cart icons to display, however they display beneath the main site navigation. I uploaded a picture of what is currently happening and what I want to happen (all icons displayed in a single row, right aligned). Any help would be much appreciated.

password: portree

Current CSS code injection is as follows:

<!-- Adds the Commerce7 styles -->
<link href="https://cdn.commerce7.com/v2/commerce7.css" rel="stylesheet">

<script type="text/javascript">
    document.addEventListener('DOMContentLoaded', function(event) {
      var node = document.createElement('div')
      node.id = 'c7-tools'

      var accountNode = document.createElement('div')
      accountNode.id = 'c7-account'
      node.appendChild(accountNode)

      var cartNode = document.createElement('div')
      cartNode.id = 'c7-cart'
      node.appendChild(cartNode)

      var header = document.getElementsByClassName('header-nav-item')[4]
     header.appendChild(node)
  })
  

</script>

<script type="text/javascript" 
        src="https://cdn.commerce7.com/v2/commerce7.js" 
        id="c7-javascript" 
        data-tenant="louise-bernhard-wine">
</script>

<style type="text/css">
  
  /* ----- Header ------ */
  header {
      display: flex;
    align-items: center;
  }

  header #c7-tools {
      display: flex;
    justify-content: space-between;
    align-items: center;
    
  } 
</style>

Can you keep icons? We can check easier

I don't see any icons now