dissolve singlepart features into multipart based on another polygon?

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I'm working on generating a water feature layer that eliminates a lot of the swamp/marsh areas in my county. Using raster analysis (iso unsupervised cluster, majority filter, boundary clean, etc) and converting to a polygon, I now have a layer that more accurately depicts surface water.

However, this also means that I now have a lot of spurious features. Here's a screenshot:



Green is my new layer and blue is the original. Those selected polygons, and all of the other green ones inside the blue boundary, should be 1 feature. However, the attribute table for this selection shows 25 different features. I want these small, isolated singlepart features to be merged together based on the original polygon that surrounds them. It would be like a spatial dissolve where you dissolve based on location instead of attributes. Unfortunately, the closest thing that I could find to my desired process was merging in the editor toolbar, and there's no spatial component to that--it's just selecting by clicking.

It seems like this should be achievable. Any suggestions?

Please let me know if there's any further clarification I can give.

Thanks in advance,

Ian



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