[SYCL][CI] Create nightly container based on the "build" image (#9685)

I plan to use it in post commit to merge two builds

[linux_default](https://github.com/intel/llvm/blob/ac8408c4761180835fb23ccd5183efd5c5c37d95/.github/workflows/sycl_post_commit.yml#L26-L38)
and

[self_build](https://github.com/intel/llvm/blob/ac8408c4761180835fb23ccd5183efd5c5c37d95/.github/workflows/sycl_post_commit.yml#L39-L51)
into one.

I can also imagine how we can use that in place of [HIP/CUDA image for
E2E
tests](https://github.com/intel/llvm/blob/24955697d9f08c0bc7e1f2b80182c7d967f53b70/.github/workflows/sycl_gen_test_matrix.yml#L10-L17)
for PRs that only update E2E tests.

Author: aelovikov-intel

.github/workflows/sycl_nightly.yml

@@ -78,3 +78,16 @@ jobs:
         tags: |
           ghcr.io/${{ github.repository }}/sycl_ubuntu2204_nightly:no-drivers-${{ github.sha }}
           ghcr.io/${{ github.repository }}/sycl_ubuntu2204_nightly:no-drivers
+    - name: Build and Push Container (Build image)
+      uses: ./devops/actions/build_container
+      with:
+        push: ${{ github.event_name != 'pull_request' }}
+        file: ubuntu2204_preinstalled
+        username: ${{ github.repository_owner }}
+        password: ${{ secrets.GITHUB_TOKEN }}
+        build-args: |
+          base_image=ghcr.io/intel/llvm/ubuntu2204_build
+          base_tag=latest
+        tags: |
+          ghcr.io/${{ github.repository }}/sycl_ubuntu2204_nightly:build-${{ github.sha }}
+          ghcr.io/${{ github.repository }}/sycl_ubuntu2204_nightly:build

sycl/doc/developer/DockerBKMs.md

@@ -40,9 +40,14 @@ The following containers are publicly available for DPC++ compiler development:
    building DPC++ compiler from source.
 - `ghcr.io/intel/llvm/ubuntu2204_intel_drivers`: contains everything from the
    base container + pre-installed Intel drivers.
+- `ghcr.io/intel/llvm/ubuntu2204_build`: has development kits installed for
+   NVidia/AMD and can be used for building DPC++ compiler from source with all
+   backends enabled or for end-to-end testing with HIP/CUDA on machines with
+   corresponding GPUs available.
 - `ghcr.io/intel/llvm/sycl_ubuntu2204_nightly`: contains the latest successfully
-   built nightly build of DPC++ compiler. The image comes in two flavors:
-   with pre-installed Intel drivers (`latest`) and without them (`no-drivers`).
+   built nightly build of DPC++ compiler. The image comes in three flavors:
+   with pre-installed Intel drivers (`latest`), without them (`no-drivers`) and
+   with development kits installed (`build`).
 
 ## Running Docker container interactively