So it sounds like you're currently doing it correctly.
Generally, deliverables would be the hi-fidelity mockups that the engineers would be using as the specifications to build off of. But it could also be a wireframe or even a product requirement document if there's no need for visual design work.
Deliverables are the assets the engineers will need for their future stories/tasks.
How you handle the breakdown of product stages will be based on the team and how well thought out the designs are.
Running in parallel, is when the designer or design team is doing the research, testing, prototyping, and planning for future product/feature work (backlog). So they wouldn't be part of the scrum team during that time, or whatever design resources that aren't needed for production work during that sprint cycle, would in essence be doing project work in parallel to the engineering team. The designer/design team would rejoin the scrum team when the work is at the deliverables stage.
Of course.
So it sounds like you're currently doing it correctly.
Generally, deliverables would be the hi-fidelity mockups that the engineers would be using as the specifications to build off of. But it could also be a wireframe or even a product requirement document if there's no need for visual design work.
Deliverables are the assets the engineers will need for their future stories/tasks.
How you handle the breakdown of product stages will be based on the team and how well thought out the designs are.
Running in parallel, is when the designer or design team is doing the research, testing, prototyping, and planning for future product/feature work (backlog). So they wouldn't be part of the scrum team during that time, or whatever design resources that aren't needed for production work during that sprint cycle, would in essence be doing project work in parallel to the engineering team. The designer/design team would rejoin the scrum team when the work is at the deliverables stage.
Jeff Gothelf has a good graphic breaking down Design and Scrum: https://medium.com/swlh/here-is-how-ux-design-integrates-with-agile-and-scrum-4f3cf8c10e24