I'd put in separate steps by the activity rather than the ingredient so not quite as simple as your flow but not a flow for each product either.
So rather than "ingredient preparation" you might have a few steps, for example:
Manual cutting of ingredients.
Cutting of ingredients using dicing machinery.
Slicing ingredients.
Poaching chicken.
weighing and portioning ingredients.
The reason I'd split them apart is your food safety risks are going to be pretty similar for a process but those different processes might have different hazards.
For example off the top of my head:
Manual cutting of ingredients. - Introduction of metal from manual blades*. Introduction of S. aureus.
Cutting of ingredients using dicing machinery. - introduction of metal from fixed blades*
Slicing ingredients. - Introduction of metal from blades*
Poaching chicken. - persistence of pathogens (although there is a subsequent cook step?)
weighing and portioning ingredients. - introduction of plastic or allergens. Introduction of S. aureus.
*The reasons why I wouldn't lump these together is that with different manual vs. machine process you might have different control measures or inspection regimes and even between machinery that might be the case. But it's all up to you of course.