After my investigation, there is no DevOps Rest API in the official document as you said. As a suggestion, you could submit a suggestion ticket to suggest the feature on: https://developercommunity.visualstudio.com/report?space=21&entry=suggestion.
However, we can use this API in F12 to change the organization pipeline general settings as a workaround.
POST https://dev.azure.com/{org}/_apis/Contribution/HierarchyQuery?api-version=5.0-preview.1
content-type: application/json
request body:
{
"contributionIds": [
"ms.vss-build-web.pipelines-org-settings-data-provider"
],
"dataProviderContext": {
"properties": {
"badgesArePublic": "true",
"sourcePage": {
"url": "https://dev.azure.com/{org_name}/_settings/pipelinessettings",
"routeId": "ms.vss-admin-web.collection-admin-hub-route",
"routeValues": {
"adminPivot": "pipelinessettings",
"controller": "ContributedPage",
"action": "Execute",
"serviceHost": "{please check it in F12 when changing settings}"
}
}
}
}
}
Names of these settings:
badgesArePublic: Disable anonymous access to badges
enforceSettableVar: Limit variables that can be set at queue time
enforceJobAuthScope: Limit job authorization scope to current project for non-release pipelines
enforceJobAuthScopeForReleases: Limit job authorization scope to current project for release pipelines
enforceReferencedRepoScopedToken: Protect access to repositories in YAML pipelines
disableStageChooser: Disable stage chooser