How to handle this roof line?

Hello All,
I am attempting to add a screened in porch to my house and I can’t quite figure out what to do where the two roofs will intersect. I was hoping someone could offer some insight. I am attaching an image. The green line is if I were to do a flat roof, the pink is a pitched roof. I have circled the area I can’t quite figure out.

If there is enough pitch, you may be able to build a saddle in the intersecting valley.

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Authentic is right and plan on pulling any siding anywhere close to the roof plane to flash wall properly.