Workflow to track client integration build (#318)

### Issue
No tracking issue, but a follow up issue will be #321 
tt-lens is a private repo, so it is not trivial to add a build job such
as this one.

### Description
Adding a job, which won't be mandatory, which tries to build newest
tt-metal with the current umd (a branch from this PR if triggered on PR,
or main if on main).

The idea is that to see asap if something is going to break tt-metal
build, which seems to be happening often in the past period.

### List of the changes
- Add workflow for building tt-metal, but with the UMD from this branch

### Testing
CI on this branch passed.

### API Changes
There are no API changes in this PR.

.github/workflows/build-clients.yml

@@ -0,0 +1,56 @@
+name: Build clients on newest UMD
+
+on:
+  workflow_dispatch:
+    inputs:
+      timeout:
+        required: true
+        description: 'The timeout for the job in minutes'
+        type: number
+        default: 30
+  pull_request:
+    branches: ["main"]
+  push:
+    branches: ["main"]
+
+jobs:
+  build-tt-metal:
+    # Due to parsing bug, fromJSON is used to convert string to number.
+    # In pull_request or push events, the input context is not available, stating the default again here.
+    timeout-minutes: ${{ fromJSON(inputs.timeout || '30') }}
+    strategy:
+      fail-fast: false
+      matrix:
+        arch_name: [grayskull, wormhole_b0, blackhole]
+
+    name: Build tt-metal for ${{ matrix.arch_name }} with newest UMD
+    runs-on: ubuntu-20.04
+    container:
+      image: ghcr.io/tenstorrent/tt-metal/tt-metalium/ubuntu-20.04-amd64:latest
+      options: --user root
+
+    steps:
+      - name: Checkout client repo
+        uses: actions/checkout@v4
+        with:
+          # Clone under tt-metal directory
+          path: tt-metal
+          repository: tenstorrent/tt-metal
+          submodules: recursive
+          lfs: 'true'
+
+      - name: Checkout UMD
+        uses: actions/checkout@v4
+        with:
+          # Clone directly into tt-metal directory for umd
+          path: tt-metal/tt_metal/third_party/umd
+          submodules: recursive
+          lfs: 'true'
+
+      - name: Build tt-metal
+        run: |
+          cd tt-metal
+          export ARCH_NAME=${{ matrix.arch_name }}
+          export TT_METAL_HOME=$(pwd)
+          export PYTHONPATH=$(pwd)
+          ./build_metal.sh