Editing json file in line with jq

I have a json file like this:

{"arrays": [    {"name": "foo","properties": [        {"type": "app","url": "https://example.com","checksum": "d6fd580fe890b826250aa5d5a88bcdb28839cff4d447ba51536cda4ceae89c4e"        }      ]    }  ]}

I want to change the type to something else, delete the url and checksum key and add a file key in their place with a value.

The final thing should be:

{"arrays": [    {"name": "foo","properties": [        {"type": "Bar","file": "filename"        }      ]    }  ]}

How would I do this inline with jq

I got upto modifying the type value:

jq '(.arrays[]| select(.name == "foo").properties[]).type |= "Bar"' test.json