Generate a nonce per request, for example:
MTAyOTg1MDExOCwyMjg1MTc5Mjcw
Include the nonce in your strict CSP:
Content-Security-Policy: script-src 'nonce-MTAyOTg1MDExOCwyMjg1MTc5Mjcw'
Add the nonce attribute to your AddToAny <script> tag like so:
<script async nonce="MTAyOTg1MDExOCwyMjg1MTc5Mjcw" src="https://static.addtoany.com/menu/page.js"></script>