Is there a pure CSS way to continue ordered list numbering across 2 seperated ordered list?

Demo: https://jsfiddle.net/jacobgoh101/uqrkaodc/3/

<ol>
  <li>a</li>
</ol>
<ul>
  <li>b</li>
</ul>
<ol>
  <li>c</li>
  <li>d</li>
  <li>e</li>
</ol>

ol li {
  counter-increment: list-0;
  list-style: none;
}

ol li:before {
  content: counter(list-0, decimal) '. ';
}

current outcome

1 a
• b
1 c
2 d
3 e

Is there a way to achieve this outcome below?

intended outcome

1 a
• b
2 c
3 d
4 e

(Context: Trying to make nested list work with QuillJS. https://github.com/quilljs/quill/issues/979)

UPDATE:

Due to the limitation of the QuillJS library, I am not really able to add start="2" to the ol or change the HTML structure.

I think I need a pure CSS solution, if possible.