The example for the endpoint /rest/api/3/search in the Jira Cloud REST API documentation is incomplete:

• Search for issues using JQL (GET)

Indeed, the provided example is the below one:

curl --request GET \
  --url 'https://your-domain.atlassian.net/rest/api/3/search' \
  --user 'email@example.com:<api_token>' \
  --header 'Accept: application/json'

However, the above example is missing to show the actual JQL query (url encoded) to be added after the jql parameter.

The example should be corrected and the JQL parameter should be added to the url. Something like (project = Test Project"):

curl --request GET \
  --url 'https://your-domain.atlassian.net/rest/api/3/search?jql=project%20%3D%20"Test%20Project"' \
  --user 'email@example.com:<api_token>' \
  --header 'Accept: application/json'