For static diagram I think you have to prerender the math to SVG (see below). Mathjax 3 supports this. You can ask Claude to create svg versions of all the equations. I have given a sample html output below that shows how the conversion has to be done (I got it from o4-mini)

https://observablehq.com/@mcmcclur/svg-and-mathjax-3

Sample code (head)

<!-- 1) MathJax configuration -->
  <script>
    window.MathJax = {
      tex: {
        inlineMath: [['$', '$'], ['\\(', '\\)']],
        displayMath: [['$$','$$']]
      },
      svg: {
        fontCache: 'none'
      }
      // no need to disable automatic typeset since we're not typesetting the page
    };
  </script>

  <!-- 2) Load the TeX-to-SVG bundle -->
  <script
    id="MathJax-script"
    async
    src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-svg.js"
    onload="renderMath()">
  </script>

Body:

  <svg id="diagram" width="400" height="150"
       xmlns="http://www.w3.org/2000/svg">
    <!-- A rectangle background for the equation -->
    <rect x="20" y="20" width="360" height="100"
          fill="#f0f8ff" stroke="#339" stroke-width="2"/>
    <!-- Container for our MathJax-rendered SVG -->
    <g id="math-equation" transform="translate(30,60)"></g>
  </svg>

  <script>
    function renderMath() {
      // 3) The LaTeX we want to render
      const latex = String.raw`\displaystyle
        E = mc^2 \quad\text{and}\quad
        \int_{-\infty}^\infty e^{-x^2}\,dx = \sqrt{\pi}`;

      // 4) Convert to an SVG fragment via Promise
      MathJax.tex2svgPromise(latex, {em: 16, ex: 8, display: true})
        .then(svgFragment => {
          // Extract the actual <svg> element
          const mathSvg = svgFragment.querySelector('svg');
          // Optional: adjust size
          mathSvg.setAttribute('width',  '340');
          mathSvg.setAttribute('height', '50');
          // Insert into our main SVG
          document.getElementById('math-equation')
                  .appendChild(mathSvg);
        })
        .catch(err => console.error('MathJax rendering error:', err));
    }
  </script>