feat: axum server with OGX-backed agentic loop and state hydration

.github/workflows/rust.yml

@@ -48,3 +48,35 @@ jobs:
 
       - name: Run tests
         run: cargo test
+
+  integration:
+    runs-on: ubuntu-latest
+    needs: rust
+    steps:
+      - name: Checkout code
+        uses: actions/checkout@de0fac2e4500dabe0009e67214ff5f5447ce83dd # v6.0.2
+
+      - name: Install Rust toolchain
+        uses: dtolnay/rust-toolchain@e97e2d8cc328f1b50210efc529dca0028893a2d9 # v1
+        with:
+          toolchain: stable
+
+      - name: Cache cargo registry and build
+        uses: actions/cache@668228422ae6a00e4ad889ee87cd7109ec5666a7 # v4
+        with:
+          path: |
+            ~/.cargo/registry
+            ~/.cargo/git
+            target
+          key: cargo-${{ runner.os }}-${{ hashFiles('Cargo.lock') }}
+          restore-keys: |
+            cargo-${{ runner.os }}-
+
+      - name: Install uv
+        uses: astral-sh/setup-uv@6b9c6063abd6010835644d4c2e1bef4cf5cd0fca # v6
+
+      - name: Install OGx
+        run: uv pip install --system ogx[sqlite-vec]
+
+      - name: Run integration tests
+        run: make integration-test