Very similar to a task, a project has also a unique identifier - the ID (Although I think project names are also unique)

You can get the project ID either from UI (If you go to a specific project, the project ID will be in the url) or from the api as documented in:
https://clear.ml/docs/latest/docs/references/api/projects#post-projectsget_all
or from the sdk as documented here:
https://clear.ml/docs/latest/docs/references/sdk/task#taskget_project_id

Plug that project ID into the filter of tasks.get_all and you'll get what you're looking for 🙂