ci: Setup biome and pre-commit hooks for formatting (no-changelog) (#10795)

Co-authored-by: Tomi Turtiainen <10324676+tomi@users.noreply.github.com>

.vscode/extensions.json

@@ -1,5 +1,6 @@
 {
 	"recommendations": [
+		"biomejs.biome",
 		"streetsidesoftware.code-spell-checker",
 		"dangmai.workspace-default-settings",
 		"dbaeumer.vscode-eslint",

.vscode/settings.default.json

@@ -1,6 +1,22 @@
 {
 	"editor.defaultFormatter": "esbenp.prettier-vscode",
 	"editor.formatOnSave": true,
+	"[javascript]": {
+		"editor.defaultFormatter": "biomejs.biome"
+	},
+	"[typescript]": {
+		"editor.defaultFormatter": "biomejs.biome"
+	},
+	"[json]": {
+		"editor.defaultFormatter": "biomejs.biome"
+	},
+	"[jsonc]": {
+		"editor.defaultFormatter": "biomejs.biome"
+	},
+	"editor.codeActionsOnSave": {
+		"quickfix.biome": "explicit",
+		"source.organizeImports.biome": "never"
+	},
 	"search.exclude": {
 		"node_modules": true,
 		"dist": true,