[chore] Build and publish application hosted in the repository for the DotNet instrumentation E2E test

.github/workflows/publish-autoinstrumentation-e2e-images.yaml

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+name: "Publish instrumentation E2E images"
+
+on:
+  push:
+    paths:
+      - 'tests/instrumentation-e2e-apps/**'
+      - '.github/workflows/publish-autoinstrumentation-e2e-images.yaml'
+    branches:
+      - main
+  pull_request:
+    paths:
+      - 'tests/instrumentation-e2e-apps/**'
+      - '.github/workflows/publish-autoinstrumentation-e2e-images.yaml'
+  workflow_dispatch:
+
+concurrency:
+  group: ${{ github.workflow }}-${{ github.head_ref || github.run_id }}
+  cancel-in-progress: true
+
+jobs:
+  dotnet:
+    runs-on: ubuntu-20.04
+
+    steps:
+      - uses: actions/checkout@v3
+
+      - name: Docker meta
+        id: meta
+        uses: docker/metadata-action@v4
+        with:
+          images: ghcr.io/open-telemetry/opentelemetry-operator/dotnet-test
+      - name: Set up QEMU
+        uses: docker/setup-qemu-action@v2
+
+      - name: Set up Docker Buildx
+        uses: docker/setup-buildx-action@v2
+
+      - name: Cache Docker layers
+        uses: actions/cache@v3
+        with:
+          path: /tmp/.buildx-cache
+          key: ${{ runner.os }}-buildx-${{ github.sha }}
+          restore-keys: |
+            ${{ runner.os }}-buildx-
+      - name: Login to GitHub Package Registry
+        uses: docker/login-action@v2
+        with:
+          registry: ghcr.io
+          username: ${{ github.repository_owner }}
+          password: ${{ secrets.GITHUB_TOKEN }}
+
+      - name: Build and push
+        uses: docker/build-push-action@v4
+        with:
+          context: tests/instrumentation-e2e-apps/dotnet
+          platforms: linux/arm64,linux/amd64
+          push: ${{ github.event_name == 'push' }}
+          cache-from: type=local,src=/tmp/.buildx-cache
+          cache-to: type=local,dest=/tmp/.buildx-cache

tests/instrumentation-e2e-apps/dotnet/Dockerfile

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+FROM --platform=$BUILDPLATFORM mcr.microsoft.com/dotnet/sdk:7.0.400-bookworm-slim-amd64 AS build
+ARG TARGETARCH
+WORKDIR /source
+
+RUN dotnet new webapp -o MyWebApp --no-https -f net7.0
+
+WORKDIR /source/MyWebApp
+RUN dotnet publish -a $TARGETARCH -o /app
+
+FROM mcr.microsoft.com/dotnet/aspnet:7.0.10-bullseye-slim
+
+ENV DOTNET_ROLL_FORWARD=Major
+ENV DOTNET_ROLL_FORWARD_PRE_RELEASE=1
+
+WORKDIR /app
+COPY --from=build /app/ .
+
+ENTRYPOINT ["./MyWebApp"]