Merge json arrays with duplicate keys

I want to merge two json arrays with help of jq. Each object in arrays contains name field, which allow me to group by and merge two arrays into one.

LABELS

[
  {
    "name": "power_branch",
    "description": "master"
  },
  {
    "name": "test_branch",
    "description": "main"
  }
]

RUNNERS

[
  {
    "name": "power_branch",
    "runner": "power",
    "runner_tag": "macos"
  },
  {
    "name": "power_branch",
    "runner": "power",
    "runner_tag": "ubuntu"
  },
  {
    "name": "test_branch",
    "runner": "tester",
    "runner_tag": ""
  },
  {
    "name": "development",
    "runner": "dev",
    "runner_tag": "ubuntu"
  }
]

Desired Output

[
  {
    "name": "power_branch",
    "description": "master",
    "runner": "power",
    "runner_tag": "macos"
  },
  {
    "name": "power_branch",
    "description": "master",
    "runner": "power",
    "runner_tag": "ubuntu"
  },
  {
    "name": "test_branch",
    "description": "main",
    "runner": "tester",
    "runner_tag": ""
  }
]

I tried with following script, but power_branch entry was override, instead i want another entry with different runner_tag

#!/usr/bin/bash

LABELS='[{"name": "power_branch","description": "master"},{"name": "test_branch","description": "main"}]'
RUNNERS='''
[
  { "name": "power_branch", "runner": "power", "runner_tag": "macos" },
  { "name": "power_branch", "runner": "power", "runner_tag": "ubuntu" },
  { "name": "test_branch", "runner": "tester", "runner_tag": "" },
  { "name": "development", "runner": "dev", "runner_tag": "ubuntu" }
]
'''

FINAL=$(jq -s '[ .[0] + .[1] | group_by(.name)[] | select(length > 1) | add]' <(echo $LABELS) <(echo $RUNNERS))
echo $FINAL

OUTPUT

[
  {
    "name": "power_branch",
    "description": "master",
    "runner": "power",
    "runner_tag": "ubuntu"
  },
  {
    "name": "test_branch",
    "description": "main",
    "runner": "tester",
    "runner_tag": ""
  }
]

>Solution :

If you have two files labels.json and runners.json, read in the latter (runners) as a variable using --argjson and append to each element of the input (labels) array using map the corresponding fields using select.

jq --argjson runners "$(cat runners.json)" '
  map(.name as $name | . + ($runners[] | select(.name == $name)))
' labels.json

Alternatively, instead of command substitution, you could read in the runners file using --slurpfile for the cost of another iteration level [][]:

jq --slurpfile runners runners.json '
  map(.name as $name | . + ($runners[][] | select(.name == $name)))
' labels.json