Issue with Excluding Dynamic Content from Cache

I’m assuming this has to do with the APO feature. I have a plugin that inserts an estimated delivery date in Woocommerce right above the add to cart button. I cannot figure out how to exclude this part of the page from caching. Basically the delivery date often will show a date in the past until I clear the cloudflare cache. I’ve already created page rules in cloudflare to exclude the entire plugin, but that has not helped. I’m guessing this because it inserts the estimated delivery date through html. How can I go about excluding this? I tried lowering the “Browser Cache TTL” to 1 hour, but the problem still occurs. The only thing that fixes the issue is if I manually go in every day and clear the cloudflare cache so that the estimated delivery date displays accurately again instead of showing an old cached date.