feat: enhance DeesTable with server-side search and Lucene filtering capabilities

ts_web/elements/dees-table/dees-table.demo.ts

@@ -537,6 +537,48 @@ export const demoFunc = () => html`
           dataName="employees"
         ></dees-table>
       </div>
+
+      <div class="demo-section"
+        @searchRequest=${async (e: CustomEvent) => {
+          const { query } = e.detail || { query: '' };
+          const table = document.getElementById('serverSearchDemo') as any;
+          const baseData = [
+            { id: 1, name: 'Alice', city: 'Berlin', title: 'Engineer' },
+            { id: 2, name: 'Bob', city: 'Paris', title: 'Designer' },
+            { id: 3, name: 'Charlie', city: 'London', title: 'Manager' },
+            { id: 4, name: 'Diana', city: 'Madrid', title: 'Engineer' },
+            { id: 5, name: 'Ethan', city: 'Rome', title: 'Support' },
+          ];
+          // Simulate async request
+          await new Promise((r) => setTimeout(r, 300));
+          const q = String(query || '').toLowerCase();
+          const filtered = q
+            ? baseData.filter((r) => Object.values(r).some((v) => String(v).toLowerCase().includes(q)))
+            : baseData;
+          table.data = filtered;
+        }}
+      >
+        <h2 class="demo-title">Server Search (New)</h2>
+        <p class="demo-description">Select Server mode, type a query, and watch the table fetch simulated results.</p>
+        <dees-table
+          id="serverSearchDemo"
+          heading1="People (Server Search)"
+          heading2="Click Search, choose Server mode, and type"
+          .columns=${[
+            { key: 'name', header: 'Name' },
+            { key: 'city', header: 'City' },
+            { key: 'title', header: 'Title' },
+          ]}
+          .data=${[
+            { id: 1, name: 'Alice', city: 'Berlin', title: 'Engineer' },
+            { id: 2, name: 'Bob', city: 'Paris', title: 'Designer' },
+            { id: 3, name: 'Charlie', city: 'London', title: 'Manager' },
+            { id: 4, name: 'Diana', city: 'Madrid', title: 'Engineer' },
+            { id: 5, name: 'Ethan', city: 'Rome', title: 'Support' },
+          ]}
+          dataName="people"
+        ></dees-table>
+      </div>
     </div>
   </div>
 `;