Add eslint-plugin-github and fix issues (#29201)

This plugin has a few useful rules. The only thing I dislike about it is
that it pulls in a rather big number of dependencies for react-related
rules we don't use, but it can't really be avoided.

Rule docs:
https://github.com/github/eslint-plugin-github?tab=readme-ov-file#rules

package.json

@@ -67,6 +67,7 @@
     "@vitejs/plugin-vue": "5.0.4",
     "eslint": "8.56.0",
     "eslint-plugin-array-func": "4.0.0",
+    "eslint-plugin-github": "4.10.1",
     "eslint-plugin-i": "2.29.1",
     "eslint-plugin-jquery": "1.5.1",
     "eslint-plugin-no-jquery": "2.7.0",