Can someone please, for the love of God, tell me what I'm doing wrong with my Vue setup

Decisions like what exactly?

Okay, I got this to work. Here you go! I changed it to use style-loader instead of vue-style-loader. Basically, with the VueLoader plugin, it will reapply all the rules you have to Vue components, so you don't need to use vue-style-loader where you were using it. I have not seen vue-style-loader before, I don't know what that is. If you look at my config, I am not sure vue-style-loader, just the regular style-loaders.

PS: I have a screencast where I build the webpack config you see in my project from scratch and explain each part. You can find my screencast, and others, here. PS: my content is paid. Anyway, I hope this helped.

Here is the working webpack.config.js.

const path = require("path");
const VueLoaderPlugin = require("vue-loader/lib/plugin");
const HtmlWebpackPlugin = require("html-webpack-plugin");


module.exports = {
  mode: "development",
  entry: {
    app: "./src/index.js"
  },
  output: {
    path: path.resolve(__dirname, "../dist"),
    filename: "main.js"
  },
  module: {
    rules: [
      {
        test: /\.vue$/,
        loader: "vue-loader"
      },
      {
        test: /\.jsx?$/,
        exclude: /node_modules/,
        loader: "babel-loader"
      },
      {
        test: /\.css$/,
        use: [
          "style-loader",
          "css-loader"
        ]
      },
      {
        test: /\.scss$/,
        use: [
          "style-loader",
          'css-loader',
          'sass-loader'
        ]      
      },
      {
        test: /\.sass$/,
        use: [
          "style-loader",
          'css-loader',
          {
            loader: "sass-loader",
            options: {
              sassOptions: {
                indentedSyntax: true
              }
            }
          }
        ]
      }
    ]
  },
  plugins: [
    new VueLoaderPlugin(),
    new HtmlWebpackPlugin({
      template: "./src/skeleton.html",
      title: "Some title"
    })
  ],
  devServer: {
    contentBase: path.resolve(__dirname, "../dist"),
    port: 9000
  }
};