I would frame a wall up flush with the brick and then use siding to cover it from there on up.
Tying a porch roof into existing roof.
First the 4x4 beams need to be cut to the size of the existing roof so the porch roof and the edge of the existing roof will be even when the job is complete.
Butt the first new truss against the old one.
Tying in to an existing gable roof.
Then mount new trusses on the new addition walls.
Now take the 4x4 beams and erect them to the perimeter outside the porch about four feet apart.
Tying a patio roof into existing house.
Make a cutting on one of the sides of the horizontal roof beam on an angle.
In any case the structure.
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Attach the horizontal beam by using a nail gun.
Tie into the end of an existing gable roof by removing existing facing boards wall siding and any other obstructions back to the first truss of the old roof.
That fascia should be cut off where it is inside of the porch addition.