docs: sync LMSYS SGLang blog cards (#27517)

Co-authored-by: sglang-bot <sglang-bot@users.noreply.github.com>
Co-authored-by: zijiexia <37504505+zijiexia@users.noreply.github.com>

docs_new/index.mdx

@@ -82,6 +82,61 @@ It is designed to deliver low-latency and high-throughput inference across a wid
       alignItems: "stretch",
     }}
   >
+    <a
+      href="https://lmsys.org/blog/2026-06-08-lmsys-phd-fellowship/"
+      target="_blank"
+      rel="noopener noreferrer"
+      style={{
+        display: "block",
+        border: "1px solid rgba(128, 128, 128, 0.3)",
+        borderRadius: "0.75rem",
+        overflow: "hidden",
+        textDecoration: "none",
+        color: "inherit",
+        height: "100%",
+      }}
+    >
+      <div
+        style={{
+          aspectRatio: "16 / 9",
+          overflow: "hidden",
+          background: "rgba(128, 128, 128, 0.15)",
+        }}
+      >
+        <img
+          src="https://lmsys.org/images/blog/fellowship_apply/fellowship_program.png"
+          alt="Announcing the Recipient of the 2026 LMSYS PhD Fellowship"
+          style={{
+            width: "100%",
+            height: "100%",
+            objectFit: "cover",
+            objectPosition: "center",
+            display: "block",
+          }}
+        />
+      </div>
+      <div style={{ padding: "0.9rem 1rem 1rem" }}>
+        <p
+          style={{
+            margin: 0,
+            fontWeight: 600,
+            lineHeight: 1.35,
+            fontSize: "0.98rem",
+          }}
+        >
+          {"Announcing the Recipient of the 2026 LMSYS PhD Fellowship"}
+        </p>
+        <p
+          style={{
+            margin: "0.55rem 0 0",
+            fontSize: "0.85rem",
+            opacity: 0.75,
+          }}
+        >
+          {"June 08, 2026"}
+        </p>
+      </div>
+    </a>
     <a
       href="https://lmsys.org/blog/2026-06-04-nvidia-run-nemotron-3-ultra/"
       target="_blank"
@@ -357,61 +412,6 @@ It is designed to deliver low-latency and high-throughput inference across a wid
         </p>
       </div>
     </a>
-    <a
-      href="https://lmsys.org/blog/2026-04-25-deepseek-v4/"
-      target="_blank"
-      rel="noopener noreferrer"
-      style={{
-        display: "block",
-        border: "1px solid rgba(128, 128, 128, 0.3)",
-        borderRadius: "0.75rem",
-        overflow: "hidden",
-        textDecoration: "none",
-        color: "inherit",
-        height: "100%",
-      }}
-    >
-      <div
-        style={{
-          aspectRatio: "16 / 9",
-          overflow: "hidden",
-          background: "rgba(128, 128, 128, 0.15)",
-        }}
-      >
-        <img
-          src="https://lmsys.org/images/blog/deepseek_v4/benchmark_vs_oss.png"
-          alt="DeepSeek-V4 on Day 0: From Fast Inference to Verified RL with SGLang and Miles"
-          style={{
-            width: "100%",
-            height: "100%",
-            objectFit: "cover",
-            objectPosition: "center",
-            display: "block",
-          }}
-        />
-      </div>
-      <div style={{ padding: "0.9rem 1rem 1rem" }}>
-        <p
-          style={{
-            margin: 0,
-            fontWeight: 600,
-            lineHeight: 1.35,
-            fontSize: "0.98rem",
-          }}
-        >
-          {"DeepSeek-V4 on Day 0: From Fast Inference to Verified RL with SGLang and Miles"}
-        </p>
-        <p
-          style={{
-            margin: "0.55rem 0 0",
-            fontSize: "0.85rem",
-            opacity: 0.75,
-          }}
-        >
-          {"April 25, 2026"}
-        </p>
-      </div>
-    </a>
   </div>
 </div>
 {/* END_LMSYS_SGLANG_BLOG_CARDS */}