Update the e2e package's dependencies

Remove @wordpress/e2e-test-utils-playwright, which no test imports and
which pulled in lighthouse and puppeteer. Move @wordpress/env to 11 and
Playwright to the current release, then apply npm audit fix. Three
moderate advisories remain on qs inside wp-env's bundled express, with
no fix available upstream yet.

Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>

Author: joaquimds