Remove process.cwd usage from path polyfill (#37130)

Avoid process usage detection warning for edge runtime bundle

Author: huozhi

packages/next/build/webpack/loaders/next-middleware-ssr-loader/render.ts

@@ -11,9 +11,6 @@ import {
   WebNextResponse,
 } from '../../../../server/base-http/web'
 
-// Polyfilled for `path-browserify` inside the Web Server.
-process.cwd = () => ''
-
 export function getRender({
   dev,
   page,

packages/next/compiled/path-browserify/index.js

@@ -611,6 +611,12 @@ export async function ncc_path_browserify(task, opts) {
       target: 'es5',
     })
     .target('compiled/path-browserify')
+
+  const filePath = join(__dirname, 'compiled/path-browserify/index.js')
+  const content = fs.readFileSync(filePath, 'utf8')
+
+  // Remove process usage from path-browserify polyfill for edge-runtime
+  await fs.writeFile(filePath, content.replace(/process\.cwd\(\)/g, '""'))
 }
 
 // eslint-disable-next-line camelcase