Playwright: remove playwright.base.config.ts from workspace root

[sebastiandg7]

Current Behavior

The generated base config (meant to be shared across different playwright projects) do not have a specific tsconfig. Making this to fail for IDE linters as the node typings are not configured for that file.

Expected Behaviour

We can just have separate configurations and each user can opt to create a shared @nrwl/node lib exporting a base Playwright configuration.

Github Repo

No response

Steps to Reproduce

1. pnpm nx g @nxkit/playwright:proj my-app-e2e
2. Open the ./playwright.config.base.ts file in an IDE like vscode.

Nx Report

pnpm nx report                                                 

 >  NX   Report complete - copy this into the issue template

   Node : 18.13.0
   OS   : darwin arm64
   pnpm : 7.24.3
   
   nx : 15.5.1
   @nrwl/angular : Not Found
   @nrwl/cypress : 15.5.1
   @nrwl/detox : Not Found
   @nrwl/devkit : 15.5.1
   @nrwl/esbuild : Not Found
   @nrwl/eslint-plugin-nx : 15.5.1
   @nrwl/expo : Not Found
   @nrwl/express : Not Found
   @nrwl/jest : 15.5.1
   @nrwl/js : 15.5.1
   @nrwl/linter : 15.5.1
   @nrwl/nest : Not Found
   @nrwl/next : 15.5.1
   @nrwl/node : 15.5.1
   @nrwl/nx-cloud : 15.0.2
   @nrwl/nx-plugin : Not Found
   @nrwl/react : 15.5.1
   @nrwl/react-native : Not Found
   @nrwl/rollup : 15.5.1
   @nrwl/schematics : Not Found
   @nrwl/storybook : 15.5.1
   @nrwl/web : 15.5.1
   @nrwl/webpack : 15.5.1
   @nrwl/workspace : 15.5.1
   @nrwl/vite : 15.5.1
   typescript : 4.8.4
   ---------------------------------------
   Local workspace plugins:
   ---------------------------------------
   Community plugins:
         @nxkit/playwright: 2.0.1

Failure Logs

No response

Additional Information

No response

Code of Conduct

• I agree to follow this project's Code of Conduct