Pattern in shape for laser cutting

I have a pattern, i have a shape (these differ, so this is just an example) i need to put the pattern in the shape, this can be done with masking for example. I can than get rid of the excess by using outline. But in that case there is still a line around the pattern, i need that (this is difficult) only partly. 

I use the outcome for laser cutting, so it should be one shape, testing wit filling with an color makes this clear. 

I provided an example file with all steps and expected result and my issue. Is there a way to speed up this last step? this is taking lots of time with big complex patterned shapes (and is boring work :-))

Thnx in advance. 

Richard