E2E/Playwright: Update dependencies, screenshots, config and type (#23000)

* update dependencies

* update default server config and client type

* close browser context once test is done

* fix test when switching a product

* update screenshots and readme

* add cross-env and make headless mode as default

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Co-authored-by: Mattermost Build <build@mattermost.com>

e2e-tests/playwright/sample.env

@@ -35,7 +35,7 @@
 #   - Default to "false" if not set.
 
 # 12. PW_HEADLESS
-#   - Default to "true" if not set. Set to false to run test in head mode.
+#   - Default to "false" or headless mode if not set. Set to true to run test in headed mode.
 
 # 13. PW_SLOWMO
 #   - Default to "0" if not set which means normal test speed run. Slows down Playwright operations by the specified amount of milliseconds. Useful so that you can see what is going on.