如何在Modal上显示选中的单选按钮？

<!-- 模态框 -->
<div id="myModal" class="modal">
  <!-- 模态框内容 -->
  <div class="modal-content">
    <span class="close">&times;</span>
    <h3>请选择一个选项：</h3>
    <input type="radio" id="option1" name="options" value="选项1">
    <label for="option1">选项1</label><br>
    <input type="radio" id="option2" name="options" value="选项2">
    <label for="option2">选项2</label><br>
    <input type="radio" id="option3" name="options" value="选项3">
    <label for="option3">选项3</label><br>
    <button id="submitButton">提交</button>
  </div>
</div>

<!-- 按钮触发模态框 -->
<button id="openModalButton">打开模态框</button>

/* 模态框样式 */
.modal {
  display: none;
  position: fixed;
  z-index: 1;
  left: 0;
  top: 0;
  width: 100%;
  height: 100%;
  overflow: auto;
  background-color: rgb(0,0,0);
  background-color: rgba(0,0,0,0.4);
}

.modal-content {
  background-color: #fefefe;
  margin: 15% auto;
  padding: 20px;
  border: 1px solid #888;
  width: 80%;
}

.close {
  color: #aaa;
  float: right;
  font-size: 28px;
  font-weight: bold;
}

.close:hover,
.close:focus {
  color: black;
  text-decoration: none;
  cursor: pointer;
}

// 获取模态框及相关元素
const modal = document.getElementById("myModal");
const modalButton = document.getElementById("openModalButton");
const closeButton = document.getElementsByClassName("close")[0];
const submitButton = document.getElementById("submitButton");

// 点击按钮打开模态框
modalButton.onclick = function() {
  modal.style.display = "block";
}

// 点击关闭按钮或模态框外部关闭模态框
closeButton.onclick = function() {
  modal.style.display = "none";
}

window.onclick = function(event) {
  if (event.target == modal) {
    modal.style.display = "none";
  }
}

// 点击提交按钮获取选中的单选按钮的值
submitButton.onclick = function() {
  const selectedOption = document.querySelector('input[name="options"]:checked');
  if (selectedOption) {
    const selectedValue = selectedOption.value;
    alert("你选择了：" + selectedValue);
  }
  else {
    alert("请选择一个选项！");
  }
}