test: add sqlite immersion verification lane

.github/workflows/ci.yml

@@ -20,6 +20,11 @@ jobs:
         with:
           bun-version: 1.3.5
 
+      - name: Setup Node
+        uses: actions/setup-node@v4
+        with:
+          node-version: 22.12.0
+
       - name: Cache dependencies
         uses: actions/cache@v4
         with:
@@ -54,6 +59,9 @@ jobs:
       - name: Build (bundle)
         run: bun run build
 
+      - name: Immersion SQLite verification
+        run: bun run test:immersion:sqlite:dist
+
       - name: Dist smoke suite
         run: bun run test:smoke:dist