V2 API cannot be accessed with project api token

This is related to (write operations not working):

However, even read-only operations are not working.
I created a Project API token (scope: all), and when I try to access a pipeline via

curl "https://circleci.com/api/v2/project/${PROJECT_SLUG}/pipeline/1092?circle-token=${CIRCLE_TOKEN}"

I get this response:

{
  "message" : "Pipeline not found"
}

Changing CIRCLE_TOKEN to my personal token and leaving everything else unchanged, the request works.