Viewing all the content created by task entity.

I think you could do this with Views. i.e. a view that lists all tasks for a project, regardless of status.

@jeremylichtman could there be a link added to the card with a view list of one, that shows all the fields attached to the entity task? Currently, the task card has two edit links.

Not sure I understand the ask. What would the display show?

When testing with a Drupal View and a display view on a new installation, it doesn't seem to display all items. Do you have any suggestions on how to get all these items to render?

You may have to add relationships, i.e. for the log.

I can get the view to work if I don't render the Task Rendered entity and only use separate fields. What is interesting is that when I try to override the twig template with burndown-task--full.html.twig in the module, Drupal core won't be recognized. If this could be added, it would give developers the ability to alter content in an entity render layout. What steps do I need to take so that this template, and others like it, can be recognized by Drupal Core's rendering API?

Not sure. Can you create a custom display mode for the entity, and use the template for that?