If a non-Jew cooks a food in which there is a mixture of two foods, one of which satisfies a requirement to not be subject to bishul akum (let's say it is eaten raw), and one of which does not satisfy any of the requirements to not be subject to bishul akum, and the ingredient which is not subject to bishul akum is the primary ingredient, will there be an issue of bishul akum on the secondary ingredient?
For example, let's say that a vegetable stir-fry which contains mostly peppers (which are eaten raw) and some potatoes (which are not eaten raw) is cooked by a non-Jew. Do the potatoes become subsumed under the umbrella of the peppers, as they would in a discussion of which beracha to make, or do they retain their identity and have an issue of bishul akum (which could then potentially create problems for the pan, and then from there to the peppers)?
If there are any technical problems with my examples, please feel free to leave me a note or ignore them.