Tampermonkey tab button (->) doesn't skip to the next hyperlink

Question

i was setting up a Tampermonkey script and i was trying it out, I was also trying to use the tab button (->) but if I press it, it doesn't skip to the next hyperlink, instead it puts some spaces into my text. Can someone help me? I would be very greatful.

  // ==UserScript==
// @name         Edit any Website
// @namespace    http://tampermonkey.net/
// @version      0.1
// @description  try to take over the world!
// @author       You
// @match      *://*/*
// @icon         data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==
// @grant        none
// ==/UserScript==
(function () {
    'use strict';
    // javascript:document.body.contentEditable = 'true' ;
    document.designMode = 'on';

    document.querySelectorAll('a').forEach((a) => {
        a.addEventListener('click', (e) => {
            location = e.currentTarget.href;
        })
    })
})();

var inputs = $(':input').keypress(function(e){
    if (e.which == 9) {
       e.preventDefault();
       var nextInput = inputs.get(inputs.index(this) + 1);
       if (nextInput) {
          nextInput.focus();
       }
    }
});

$(function () {
  $('textarea').keydown(function(e) {
    var keyCode = e.keyCode || e.which;

    if (keyCode == 9) {
      e.preventDefault();
      var start = $(this).get(0).selectionStart;
      var end = $(this).get(0).selectionEnd;

      // set textarea value to: text before caret + tab + text after caret
      spaces = "\t"
      $(this).val($(this).val().substring(0, start)
                  + spaces
                  + $(this).val().substring(end));

      // put caret at right position again
      $(this).get(0).selectionStart =
      $(this).get(0).selectionEnd = start + 1;
    }
  });
});