@LivaR: Firstly, we have confirmed this issue from our Test Site, the Edit Address end-point was appearing there. So, this isn’t a Theme end issue this clears the fact.
On your Site, we tried to check this concern with one of the default WordPress themes like Storefront and the Edit Address end-point on your Site wasn’t appearing with that too: https://snipboard.io/EiProb.jpg
It wasn’t appearing with one of the other default WP themes like Twenty Twenty Three too: https://snipboard.io/FCR5rX.jpg
So, this issue seems to be specifically happening on your Site. You might want to consult the WooCommerce Support in this regard, they can guide you better with this.