npm run watch with laravel and tailwind doesn't finish compiling - npm

Question

I'm having an error running npm run watch with laravel 8 when running I get this error:
Previously I got this error "cross-env" is not recognized as an internal or external command and run these commands:
npm uninstall cross-env npm install cross-env --no-bin-links npm run watch
this would be more my package.json configuration
"scripts": {
"dev": "npm run development",
"development": "cross-env NODE_ENV=development node_modules/webpack/bin/webpack.js --progress --hide-modules --config=node_modules/laravel-mix/setup/webpack.config.js",
"watch": "npm run development -- --watch",
"watch-poll": "npm run watch -- --watch-poll",
"hot": "cross-env NODE_ENV=development node_modules/webpack-dev-server/bin/webpack-dev-server.js --inline --hot --disable-host-check --config=node_modules/laravel-mix/setup/webpack.config.js",
"prod": "npm run production",
"production": "cross-env NODE_ENV=production node_modules/webpack/bin/webpack.js --no-progress --hide-modules --config=node_modules/laravel-mix/setup/webpack.config.js"
},
"devDependencies": {
"#tailwindcss/forms": "^0.2.1",
"alpinejs": "^2.8.2",
"autoprefixer": "^10.1.0",
"axios": "^0.19",
"laravel-mix": "^5.0.1",
"lodash": "^4.17.19",
"postcss": "^8.2.1",
"postcss-import": "^12.0.1",
"resolve-url-loader": "^3.1.0",
"tailwindcss": "^2.0.2",
"vue-template-compiler": "^2.6.14"
},
"dependencies": {
"#tailwindcss/forms": "^0.3.3",
"cross-env": "^7.0.3",
"node-sass": "^6.0.1"
}
when executing npm run watch it does not compile and the following appears
ERROR Failed to compile with 2 errors 10:22:41
error in ./resources/css/app.css
Module build failed (from ./node_modules/css-loader/index.js):
ModuleBuildError: Module build failed (from ./node_modules/postcss-loader/src/index.js):
Error: PostCSS plugin tailwindcss requires PostCSS 8.
Migration guide for end-users:
https://github.com/postcss/postcss/wiki/PostCSS-8-for-end-users
at Processor.normalize (c:\laragon\www\projet1\node_modules\postcss-loader\node_modules\postcss\lib\processor.js:153:15)
at new Processor (c:\laragon\www\projet1\node_modules\postcss-loader\node_modules\postcss\lib\processor.js:56:25)
at postcss (c:\laragon\www\projet1\node_modules\postcss-loader\node_modules\postcss\lib\postcss.js:55:10)
at c:\laragon\www\projet1\node_modules\postcss-loader\src\index.js:140:12
at processTicksAndRejections (internal/process/task_queues.js:97:5)
at c:\laragon\www\projet1\node_modules\webpack\lib\NormalModule.js:316:20
at c:\laragon\www\projet1\node_modules\loader-runner\lib\LoaderRunner.js:367:11
at c:\laragon\www\projet1\node_modules\loader-runner\lib\LoaderRunner.js:233:18
at context.callback (c:\laragon\www\projet1\node_modules\loader-runner\lib\LoaderRunner.js:111:13)
at c:\laragon\www\projet1\node_modules\postcss-loader\src\index.js:208:9
at processTicksAndRejections (internal/process/task_queues.js:97:5)