chore: remove puppeteer-web (#5750)

We don't support it and v3 shipped without including puppeteer-web in the browser. People are welcome to manually use Browserify to try to get Puppeteer running in a browser but it ultimately isn't our primary focus right now.

Getting puppeteer-core able to run in a browser is something we'll be looking at in the future so we'll revisit this soon.

mocha-config/browser-bundle-tests.js

@@ -1,6 +0,0 @@
-const base = require('./base');
-
-module.exports = {
-  ...base,
-  spec: 'utils/browser/*.spec.js',
-};