bash + jq: trying to read two json files and structure a new one

I have the following json files:

common.json

{"common": {"Hello": "ABC"    },"east": {"Direction": "East"    },"west": {"Direction": "West"    }}

pi.json

{"common": {"MyUri": "www.myuri.com"    },"east": {"App-Env": "my-pi","SentinelValue": 1713311902    },"west": {"App-Env": "my-piw","SentinelValue": 1713311902    }}

basically I want to create a new json file where everything from "east" key of common.json +"common" key of common.json + the "common" key of pi.json + the "east" key of pi.json are moved to one json file.

I have the following script that is not working the way I thought it would:

  jq_input_files=("common.json" "pi.json")  jq --slurp 'map({                 ((.common | keys_unsorted[])): .common[],                 ((.east | keys_unsorted[])): .east[]             }) | add'"${jq_input_files[@]}" > "test.json"

The content of test.json from this script is:

{"MyUri": "www.myuri.com","App-Env": my-pi,"SentinelValue": 1713311902}

The output I wanted for test.json is:

{"MyUri": "www.myuri.com","App-Env": 1713311902,"SentinelValue": 1713311902,"Hello": "ABC","Direction": "East"}

The two main issues I cant figure out:

1. It seems that nothing is being pulled from my common.json file even though both files are passed in.
2. It seems that App-Env is now being updated with the same value as my sentinelValue which I do not want to happen.