QuerySet.aggregate() crashes when values() selects only an aggregate annotation

[cheek-walnut]

When values() selects only an aggregate annotation, a following aggregate() over another field generates a subquery with an empty SELECT list.

class Author(models.Model):
    name = models.CharField(max_length=20)
    age = models.IntegerField()

class Book(models.Model):
    title = models.CharField(max_length=20)
    pages = models.IntegerField()
    author = models.ForeignKey(Author, models.CASCADE, related_name="books")

With two authors (ages 40 and 30) and one book each:

>>> Author.objects.annotate(c=Count("books")).values("c").aggregate(m=Max("age"))
Traceback (most recent call last):
  ...
  File "django/db/backends/sqlite3/base.py", line 365, in execute
    return super().execute(query, params)
django.db.utils.OperationalError: near "FROM": syntax error

Generated SQL (SQLite):

SELECT MAX("__col1") FROM (SELECT  FROM "app_author" LEFT OUTER JOIN "app_book" ON ("app_author"."id" = "app_book"."author_id") GROUP BY "app_author"."id", "app_author"."name", "app_author"."age") subquery

Expected {'m': 40}, as on Django 5.1, where the inner query selects "app_author"."age" AS "__col1". values_list("c") fails the same way; values("name", "c") and aggregate(m=Max("c")) work.

Regression in 65ad4ade74dc9208b9d686a451cd6045df0c9c3a (Refs #28900): the query works on its parent and fails on it. Reproduced on 5.2.20, 6.0.11, 6.1.4 and main (5bd95c57a2) with SQLite; 5.1.16 is not affected.

The cause appears to be if self.selected: in Query.set_annotation_mask() (django/db/models/sql/query.py:2568) and Query.add_annotation() (:1248), which treats an empty selected dict like None: after get_aggregation() masks the unused c annotation, selected is {} and the __col1 column added for the aggregate is never added to it.

AI disclosure: found during a code audit with Claude Code 2.1.317 (Claude Opus 5.5), which also reduced the test case and ran it on the versions above and on 65ad4ade74 and its parent. I reviewed this report and re-ran the reproduction on main and 5.1.16.