Author (or clear) a formula on an entity field

curl --request PUT \
  --url https://backend.branch.flowengineering.com/project/{projectId}/entities/{entityId}/formulas \
  --header 'Content-Type: application/json' \
  --header 'X-API-Key: <api-key>' \
  --header 'customer: <customer>' \
  --data '
{
  "formula": "<string>",
  "key": "<string>",
  "branchId": "<string>"
}
'

import requests

url = "https://backend.branch.flowengineering.com/project/{projectId}/entities/{entityId}/formulas"

payload = {
    "formula": "<string>",
    "key": "<string>",
    "branchId": "<string>"
}
headers = {
    "customer": "<customer>",
    "X-API-Key": "<api-key>",
    "Content-Type": "application/json"
}

response = requests.put(url, json=payload, headers=headers)

print(response.text)

const options = {
  method: 'PUT',
  headers: {
    customer: '<customer>',
    'X-API-Key': '<api-key>',
    'Content-Type': 'application/json'
  },
  body: JSON.stringify({formula: '<string>', key: '<string>', branchId: '<string>'})
};

fetch('https://backend.branch.flowengineering.com/project/{projectId}/entities/{entityId}/formulas', options)
  .then(res => res.json())
  .then(res => console.log(res))
  .catch(err => console.error(err));

{
  "formulaTemplates": {},
  "formulas": {},
  "id": "<string>",
  "links": {
    "crosslinks": [
      "<string>"
    ],
    "inbound": [
      "<string>"
    ],
    "inboundOrder": {},
    "outbound": [
      "<string>"
    ],
    "inboundTypes": {},
    "outboundOrder": {},
    "outboundTypes": {},
    "rootPlaced": true
  },
  "values": {},
  "branchesChangedIn": [
    "<string>"
  ],
  "branchesCreatedIn": [
    "<string>"
  ],
  "createdAt": "2023-11-07T05:31:56Z",
  "defaultSortKey": "<string>",
  "deleted": true,
  "type": "<string>",
  "uniqueEntityNumber": 123,
  "updatedAt": "2023-11-07T05:31:56Z"
}