Docker BuildKit: Wait for local image to build

Question

I have the following project structure

./docker/Base/Dockerfile
./docker/ServiceA/Dockerfile
./docker/ServiceB/Dockerfile
./docker-compose.yml

ServiceA and ServiceB share the same base image to avoid having stuff like package installation duplicated. The base Dockerfile looks like this:

FROM python:3.10-slim
# Do stuff
CMD tail -f /dev/null

The ServiceA and ServiceB Dockerfiles look like this:

FROM servicebase:latest
# Do different stuff
CMD /foo/service[A|B]

In the docker-compose.yml file, it is my goal to first build and tag the base image locally, and then build the image for services A and B.

version: '3.8'

services:
  servicebase:
    image: servicebase
    build:
      context: .
      dockerfile: docker/Base/Dockerfile
    container_name: servicebase
  serviceA:
    depends_on:
      - servicebase
    build:
      context: .
      dockerfile: docker/ServiceA/Dockerfile
  serviceB:
    depends_on:
      - servicebase
    build:
      context: .
      dockerfile: docker/ServiceB/Dockerfile

The problem I face is that when I run docker compose up, the Docker BuildKit tries to parallelize the building of the images of ServiceA and ServiceB to the building of the base image. During the build of image of Service(A|B), servicebase therefore was not built yet, such that the builder then queries Dockerhub and fails, as servicebase is not on Dockerhub:

Status: pull access denied for servicebase, repository does not exist or may require 'docker login': denied: requested access to the resource is denied, Code: 1

When I disable buildkit (export DOCKER_BUILDKIT=0), which implies a sequential building process, everything works.

Obviously I am trying to achieve something that is not intended with BuildKit. Is there a fundamental flaw in my design or is there some configuration option for BuildKit I am missing? I don't want to publish `servicebase´ to Dockerhub.

Thank you!