chore: migrate ESLint to v10 with flat config

Agent-Logs-Url: https://github.com/microsoft/vscode-python-tools-extension-template/sessions/9dd36af0-7ec8-47fe-8260-16b5356b4e3f

Co-authored-by: rzhao271 <7199958+rzhao271@users.noreply.github.com>

Author: Copilot

.eslintrc.json

@@ -0,0 +1,28 @@
+import typescriptEslint from "@typescript-eslint/eslint-plugin";
+import tsParser from "@typescript-eslint/parser";
+
+export default [
+    {
+        ignores: ["out/**", "dist/**", "**/*.d.ts"],
+    },
+    {
+        files: ["src/**/*.ts"],
+        plugins: {
+            "@typescript-eslint": typescriptEslint,
+        },
+        languageOptions: {
+            parser: tsParser,
+            parserOptions: {
+                ecmaVersion: 6,
+                sourceType: "module",
+            },
+        },
+        rules: {
+            "@typescript-eslint/naming-convention": "warn",
+            "curly": "warn",
+            "eqeqeq": "warn",
+            "no-throw-literal": "warn",
+            "semi": "off",
+        },
+    },
+];