GraphQL project token does not have access to project

Summary

Query for a project returns null when trying to use project token

Query

query { project(fullPath: "projectName") { name }}

Expected

{ data: { project: { name: "projectName" }}}

Actual

{ data: { project: null }}

What works

• REST API, no problems using a Private-Token header with a project token and my own personal token.
• CURL, using personal token with cURL using an "Authentication: Bearer" header.
• GraphQL, personal token, with the Private-Token OR Authorization header, I can fetch issues without problem.

What doesn't work

• If I try to use a project token, with the Private-Token OR Authorization header, to fetch issues with cURL or a node http request, the return result is data {project: null}}

basic cURL command used: curl 'url' --header "Authorization: Bearer xxxxxx" --header "Content-Type: application/json" --request POST -d '{"query": "query($path: ID!) {project(fullPath: $path){name}}", "variables": {"path": "adb/flow/flowApp"}}'

When testing, the only thing I did was replace the token. Otherwise, it was the same command.

Gitlab version: 13.2.1-ee (I know we are behind. I have no control over that though and I can't find a bug report on this issue, so if this is fixed in a newer version, my apologies)