You are using the Image object to display the picture, right?
You can pop out an object (any sort of object) if you can create a condition you can detect in a calc. And the selection of a value from a dimension filter is something you can detect.
In this thread I have linked several demonstration videos that show swapping and popping. Video #2 is the one that is doing what you need to do.
In my example I'm using a parameter value to control the popping, but you can make a calc field to do the same thing. To pop out image-1, do an EXCLUDE LOD to see if any row has the value for that project. If so, then the condition is TRUE and the pop-out sheet will display and push out the image object.
If you struggle with implementing this, upload a sample workbook that simulates what you have and I can show you. (Even just a workbook using Superstore and substituting [State] for [Project] would work here.)