`docker-in-docker` fails to install due to GPG error

This is what I get when trying to use Docker-in-Docker feature:

```
#0 0.162 ===========================================================================
#0 0.162 Feature : Docker (Docker-in-Docker)
#0 0.162 Description : Create child containers *inside* a container, independent from the host's docker instance. Installs Docker extension in the container along with needed CLIs.
#0 0.162 Id : ghcr.io/devcontainers/features/docker-in-docker
#0 0.162 Version : 1.0.9
#0 0.162 Documentation : https://github.com/devcontainers/features/tree/main/src/docker-in-docker
#0 0.162 Options :
#0 0.162 VERSION="latest"
#0 0.162 MOBY="true"
#0 0.162 DOCKERDASHCOMPOSEVERSION="v1"
#0 0.162 AZUREDNSAUTODETECTION="true"
#0 0.162 DOCKERDEFAULTADDRESSPOOL=""
#0 0.162 ===========================================================================
#0 0.431 DOCKER_MOBY_ARCHIVE_VERSION_CODENAMES=buster bullseye bionic focal jammy
#0 0.431 Distro codename 'bullseye' matched filter 'buster bullseye bionic focal jammy'
#0 0.442 find: '/var/lib/apt/lists/*': No such file or directory
#0 0.442 Running apt-get update...
#0 0.524 Get:1 http://deb.debian.org/debian bullseye InRelease [116 kB]
#0 0.552 Get:2 http://deb.debian.org/debian-security bullseye-security InRelease [48.4 kB]
#0 0.566 Get:3 http://deb.debian.org/debian bullseye-updates InRelease [44.1 kB]
#0 0.597 Err:1 http://deb.debian.org/debian bullseye InRelease
#0 0.597 At least one invalid signature was encountered.
#0 0.636 Err:2 http://deb.debian.org/debian-security bullseye-security InRelease
#0 0.636 At least one invalid signature was encountered.
#0 0.677 Err:3 http://deb.debian.org/debian bullseye-updates InRelease
#0 0.677 At least one invalid signature was encountered.
#0 0.681 Reading package lists...
#0 0.691 W: GPG error: http://deb.debian.org/debian bullseye InRelease: At least one invalid signature was encountered.
#0 0.691 E: The repository 'http://deb.debian.org/debian bullseye InRelease' is not signed.
#0 0.691 W: GPG error: http://deb.debian.org/debian-security bullseye-security InRelease: At least one invalid signature was encountered.
#0 0.691 E: The repository 'http://deb.debian.org/debian-security bullseye-security InRelease' is not signed.
#0 0.691 W: GPG error: http://deb.debian.org/debian bullseye-updates InRelease: At least one invalid signature was encountered.
#0 0.691 E: The repository 'http://deb.debian.org/debian bullseye-updates InRelease' is not signed.
#0 0.692 ERROR: Feature "Docker (Docker-in-Docker)" (ghcr.io/devcontainers/features/docker-in-docker) failed to install! Look at the documentation at https://github.com/devcontainers/features/tree/main/src/docker-in-docker for help troubleshooting this error.
------
```

Comienza con la documentación de la funcionalidad docker-in-docker en la fuente enlazada y reproduce la instalación con la configuración bullseye mostrada. Rastrea la configuración de paquetes de la funcionalidad y el paso de apt update; se considera terminado cuando la funcionalidad se instala correctamente sin errores invalid-signature o unsigned-repository.

Escrito por el modelo de indexación a partir del texto del issue.