feat(client): show all tool annotations with explicit/implied states

Display all 4 tool annotation badges (Read-only, Destructive, Idempotent,
Open-world) for every tool, showing:
- ✓/✗ prefix to indicate true/false value
- Green badge for true, gray for false
- Solid border for explicitly set values
- Dashed border + dimmed for implied defaults
- Tooltip explaining if value is explicit or implied

Follows MCP spec defaults:
- readOnlyHint: false
- destructiveHint: true
- idempotentHint: false
- openWorldHint: true

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

client/src/components/ToolsTab.tsx

@@ -65,49 +65,69 @@ const hasAnnotations = (
   (tool as { annotations?: unknown }).annotations !== null;
 
 // Helper to render annotation badges
+// Shows all 4 annotation values with their state (true/false/implied default)
 const AnnotationBadges = ({
   annotations,
 }: {
-  annotations: ToolAnnotations;
+  annotations: ToolAnnotations | undefined;
 }) => {
-  const badges: {
-    label: string;
-    variant: "default" | "destructive" | "secondary" | "outline";
-  }[] = [];
+  // Spec defaults: readOnlyHint=false, destructiveHint=true, idempotentHint=false, openWorldHint=true
+  const getValueAndImplied = (
+    value: boolean | undefined,
+    defaultValue: boolean,
+  ): { value: boolean; implied: boolean } => ({
+    value: value ?? defaultValue,
+    implied: value === undefined,
+  });
 
-  if (annotations.readOnlyHint === true) {
-    badges.push({ label: "Read-only", variant: "secondary" });
-  }
-  if (annotations.destructiveHint === true) {
-    badges.push({ label: "Destructive", variant: "destructive" });
-  }
-  if (annotations.idempotentHint === true) {
-    badges.push({ label: "Idempotent", variant: "outline" });
-  }
-  if (annotations.openWorldHint === true) {
-    badges.push({ label: "Open-world", variant: "default" });
-  }
+  const readOnly = getValueAndImplied(annotations?.readOnlyHint, false);
+  const destructive = getValueAndImplied(annotations?.destructiveHint, true);
+  const idempotent = getValueAndImplied(annotations?.idempotentHint, false);
+  const openWorld = getValueAndImplied(annotations?.openWorldHint, true);
 
-  if (badges.length === 0) return null;
+  const badges = [
+    {
+      label: "Read-only",
+      value: readOnly.value,
+      implied: readOnly.implied,
+    },
+    {
+      label: "Destructive",
+      value: destructive.value,
+      implied: destructive.implied,
+    },
+    {
+      label: "Idempotent",
+      value: idempotent.value,
+      implied: idempotent.implied,
+    },
+    {
+      label: "Open-world",
+      value: openWorld.value,
+      implied: openWorld.implied,
+    },
+  ];
 
   return (
     <div className="flex flex-wrap gap-1 mt-2">
-      {badges.map(({ label, variant }) => (
+      {badges.map(({ label, value, implied }) => (
         <span
           key={label}
+          title={
+            implied
+              ? `${value ? "Yes" : "No"} (implied default)`
+              : `${value ? "Yes" : "No"} (explicitly set)`
+          }
           className={cn(
-            "inline-flex items-center px-2 py-0.5 rounded text-xs font-medium",
-            variant === "destructive" &&
-              "bg-red-100 text-red-800 dark:bg-red-900 dark:text-red-200",
-            variant === "secondary" &&
-              "bg-blue-100 text-blue-800 dark:bg-blue-900 dark:text-blue-200",
-            variant === "outline" &&
-              "bg-gray-100 text-gray-800 dark:bg-gray-700 dark:text-gray-200 border border-gray-300 dark:border-gray-600",
-            variant === "default" &&
-              "bg-purple-100 text-purple-800 dark:bg-purple-900 dark:text-purple-200",
+            "inline-flex items-center px-2 py-0.5 rounded text-xs font-medium border",
+            implied && "border-dashed opacity-60",
+            !implied && "border-solid",
+            value
+              ? "bg-green-100 text-green-800 dark:bg-green-900 dark:text-green-200 border-green-300 dark:border-green-700"
+              : "bg-gray-100 text-gray-500 dark:bg-gray-800 dark:text-gray-400 border-gray-300 dark:border-gray-600",
           )}
         >
-          {label}
+          {value ? "✓" : "✗"} {label}
         </span>
       ))}
     </div>
@@ -271,9 +291,13 @@ const ToolsTab = ({
                 <p className="text-sm text-gray-600 dark:text-gray-400 whitespace-pre-wrap max-h-48 overflow-y-auto">
                   {selectedTool.description}
                 </p>
-                {hasAnnotations(selectedTool) && (
-                  <AnnotationBadges annotations={selectedTool.annotations} />
-                )}
+                <AnnotationBadges
+                  annotations={
+                    hasAnnotations(selectedTool)
+                      ? selectedTool.annotations
+                      : undefined
+                  }
+                />
                 {Object.entries(selectedTool.inputSchema.properties ?? []).map(
                   ([key, value]) => {
                     // First resolve any $ref references