I have exactly the same problem, that the acf-fields in custom post type are not pulled inside a block. What is the solution?
Actually, i have the same problem and tried your solution – and created a block that i now want to insert in the html post template via shortcode.
@chandlerwarren, how did you get the block-ID in your example (“id”:”block_627aa5c420a3d) from your block? I can’t find it anywhere …
