In the new Shopify account management, customer's my page is generated my Shopify and does not allow code integration. Apps can create blocks that are inserted inside the page.
eastPoints' Loyalty overview block
easyPoints provides a loyalty overview block that can be inserted inside the profile page, that contains the customer's tier and point balance + expiration date depending on the store settings. Stores can also insert a link to the easyPoints' my-account page inside the block.
Set up
Open the "Checkout" tab inside the Shopify admin settings, and click the "edit" button of your current checkout. (Settings for the new account page is included inside the checkout settings.)
Access the "profile" page settings, and select "easyPoints loyalty" from the add block list. Change the my-account page settings on the right side and save your changes.