style(biome): update ignore patterns and jsx quote style

Update file ignore patterns from `/*` to `/**` for consistency
Change jsxQuoteStyle from single to double quotes for alignment with project standards

biome.jsonc

@@ -16,20 +16,20 @@
     "formatWithErrors": true,
     "includes": [
       "**",
-      "!out/*",
-      "!**/dist/*",
-      "!build/*",
-      "!.yarn/*",
-      "!.github/*",
-      "!.husky/*",
-      "!.vscode/*",
+      "!out/**",
+      "!**/dist/**",
+      "!build/**",
+      "!.yarn/**",
+      "!.github/**",
+      "!.husky/**",
+      "!.vscode/**",
       "!*.yaml",
       "!*.yml",
       "!*.mjs",
       "!*.cjs",
       "!*.md",
       "!*.json",
-      "!src/main/integration/*"
+      "!src/main/integration/**"
     ],
     "indentStyle": "space",
     "indentWidth": 2,
@@ -44,7 +44,7 @@
       "attributePosition": "auto",
       "bracketSameLine": false,
       "bracketSpacing": true,
-      "jsxQuoteStyle": "single",
+      "jsxQuoteStyle": "double",
       "quoteProperties": "asNeeded",
       "quoteStyle": "single",
       "semicolons": "asNeeded",