chore(lint): partial apply docs code lints (#123)

cc @NtskwK ptal, and, some codes cannot pass the code lint, check plz.

## Summary by Sourcery

Apply linting and formatting updates across the docs app, and align
tooling and release config for the @dropout/docs package.

Enhancements:
- Normalize imports, string literals, and JSX formatting across the docs
app for consistent style and lint compliance.
- Tidy i18n, routing, and docs loader code without changing behavior,
improving readability and maintainability.

Build:
- Register the @dropout/docs package in the release/config system with
nodejs resolver and alpha pre-release tagging.
- Update docs-related Vite and TypeScript config files to match the new
linting and path conventions.
- Remove the nodejs publish command block from the shared changes config
to simplify release behavior.

Chores:
- Bump @biomejs/biome to the latest version and add core-js to
onlyBuiltDependencies for tooling compatibility.
- Add a changeset for @dropout/docs describing the docs linting patch
release.
- Introduce or update Biome and docs content metadata config files to
support the new linting setup.

1 files changed, 3 insertions, 6 deletions

diff --git a/packages/docs/biome.json b/packages/docs/biome.json
index a637e58..ea55c8c 100644
--- a/packages/docs/biome.json
+++ b/packages/docs/biome.json
@@ -1,5 +1,6 @@
 {
-  "$schema": "https://biomejs.dev/schemas/2.2.0/schema.json",
+  "root": false,
+  "$schema": "https://biomejs.dev/schemas/2.4.5/schema.json",
   "vcs": {
     "enabled": true,
     "clientKind": "git",
@@ -7,11 +8,7 @@
   },
   "files": {
     "ignoreUnknown": true,
-    "includes": [
-      "**",
-      "!node_modules",
-      "!.source"
-    ]
+    "includes": ["**", "!node_modules", "!.source"]
   },
   "formatter": {
     "enabled": true,