JSFiddle - React, Tailwind, and code Playground

HTML

<link rel="stylesheet" href="//code.jquery.com/ui/1.12.1/themes/base/jquery-ui.css">
<script src="https://code.jquery.com/jquery-1.12.4.js"></script>
<script src="https://code.jquery.com/ui/1.12.1/jquery-ui.js"></script>
<link rel="stylesheet" href="https://maxcdn.bootstrapcdn.com/bootstrap/3.2.0/css/bootstrap-theme.min.css">
<script src="//maxcdn.bootstrapcdn.com/bootstrap/3.3.7/js/bootstrap.min.js"></script>
<link rel="stylesheet" href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/css/bootstrap.min.css">
<body>
  <nav class="navbar navbar-inverse navbar-fixed-top" role="navigation" style="margin-bottom: 0">
    <div class="navbar-header">
      <a class="navbar-brand" href="/">DASHBOARD</a>
    </div>

    <!-- Start Search Bar -->
    <div class="ui-widget nav navbar-nav" id="search-wrapper">
      <div class="input-group ">
        <input id="tags" placeholder="Search..." autocomplete=off>
      </div>
    </div>
    <!-- End Search Bar -->
    
  </nav>  
</body>

CSS

#search-wrapper {
    padding: 10px;
    z-index: 1;
}

#search-field{
    min-width: 100px;
    padding: 5px;
    z-index: 2147483647;
}

#ui-id-1 {z-index: 9999;}

JavaScript

$( function() {
    var availableTags = [
      "ActionScript",
      "AppleScript",
      "Asp",
      "BASIC",
      "C",
      "C++",
      "Clojure",
      "COBOL",
      "ColdFusion",
      "Erlang",
      "Fortran",
      "Groovy",
      "Haskell",
      "Java",
      "JavaScript",
      "Lisp",
      "Perl",
      "PHP",
      "Python",
      "Ruby",
      "Scala",
      "Scheme"
    ];
    $( "#tags" ).autocomplete({
      source: availableTags
    });
  } );