Correctly highlight @example code as js/ts

Fixes #64382

extensions/typescript-basics/package.json

@@ -87,6 +87,16 @@
           "source.js",
           "source.js.jsx"
         ]
+      },
+      {
+        "scopeName": "documentation.example.injection",
+        "path": "./syntaxes/ExampleJsDoc.injection.tmLanguage.json",
+        "injectTo": [
+          "source.ts",
+          "source.tsx",
+          "source.js",
+          "source.js.jsx"
+        ]
       }
     ],
     "snippets": [

extensions/typescript-basics/syntaxes/ExampleJsDoc.injection.tmLanguage.json

@@ -0,0 +1,29 @@
+{
+	"injectionSelector": "L:comment.block.documentation",
+	"patterns": [
+		{
+			"include": "#example"
+		}
+	],
+	"repository": {
+		"example": {
+			"begin": "((@)example)\\s+",
+			"while": "(^|\\G)\\s(?!@)",
+			"beginCaptures": {
+				"1": {
+					"name": "storage.type.class.jsdoc"
+				},
+				"2": {
+					"name": "punctuation.definition.block.tag.jsdoc"
+				}
+			},
+			"contentName": "meta.embedded.block.example.source.ts",
+			"patterns": [
+				{
+					"include": "source.tsx"
+				}
+			]
+		}
+	},
+	"scopeName": "documentation.example.injection"
+}