Hi Cathy,
I don't think that boards support that level of automation at the moment:
- have requests show up in intake
- convert object within UI
- show resolving object in other columns
I would look for some other option. One suggestion from me:
1. use 2/3 panel dashboard where left panel shows requests (your intake)
2. left panel will have option to convert request to whatever you need
3. use remaining panel to either manage remaining steps of the flow OR at least to show converted objects and use it to add them to the boards