Python 如何排除prefecture_related中查询集为空的实例

I have two models - Project and Contract.
They have one-to-many relationship.

class Contract(models.Model):
    project = models.ForeignKey(Project)

我得到了一个Project个实例的qs与相关的Contract个实例.

projects = Project.objects.filter(active=True).prefetch_related(
        Prefetch('contract_set', queryset=Contract.objects.filter(**filters), to_attr='contracts')
    )

但现在我需要通过将Contract GUID放置到filters来获得Project个实例.

filters: Dict = {
  'guid': some_guid,
}

但我收到了所有Project个实例，其中只有一个实例没有空contracts attr，其他Project个实例有空contracts attr.

I found such issues:
How to exclude rows with empty prefetch_related field
Filter prefetch_related empty in django
but they do not help me.

I tried such options:
a) using OuterRef and Exist:

projects = Project.objects.filter(**filters_projects).annotate(
    has_contracts=Exists(
        Contract.objects.filter(project_id=OuterRef('pk'), **filters_contracts)
    )
)

projects = projects.filter(has_contracts=True)

b)使用annotate:

projects = (
        Project.objects.filter(**filters_projects)
        .annotate(num_contracts=Count('contract'))
        .exclude(num_contracts=0)
        .prefetch_related(
            Prefetch('contract_set', queryset=Contract.objects.filter(**filters_contracts), to_attr='contracts')
        )
    )

他们不为我工作…

如何实现所需的功能？