Ecommerce Admin Menu: Remove the duplicate My Home menu

Changes proposed in this Pull Request:

Closes https://github.com/Automattic/wp-calypso/issues/89398.

The https://github.com/Automattic/wc-calypso-bridge/pull/1449 created a side effect so that there are duplicate My Home menu on the Woo Express site with the classic interface. Before that patch, the jetpack_admin_menu_class returned the Ecommerce_Atomic_Admin_Menu, and then the My Home menu that pointed to the Calypso wasn't added. However, after that patch, the filter returned the Admin_Menu from Jetpack and it registered the My Home menu here. As it's the side effect from that PR, I think it would be better to remove the menu by Woo Express.

In the future, we can discuss whether to avoid the Admin_Menu from Jetpack registering the My Home menu since the menu doesn't seem to be necessary on the classic view.

Before	After

How to test the changes in this Pull Request:

[ ] Have you followed the Writing high-quality testing instructions guide?

Create a new WoA site with Entrepreneur plan

Build and sync changes from your local to the WoA site

npm install
npm run build
rsync -azP --delete --delete-after --exclude={'.config','.idea','.git','node_modules/'} ${WCCALYPSOBRIDGE_LOCAL_DIR} ${REMOTE_SSH_HOST}:/srv/htdocs/wp-content/mu-plugins/wpcomsh/vendor/automattic/wc-calypso-bridge/

Go to https://wordpress.com/settings/general/
Make sure there is only a single My Home menu that points to /wp-admin/admin.php?page=wc-admin

Other information:

[ ] Have you added an explanation of what your changes do and why you'd like us to include them?
[ ] Have you written new tests for your changes, as applicable?

FOR PR REVIEWER ONLY:

[ ] I have reviewed that everything is sanitized/escaped appropriately for any SQL or XSS injection possibilities. I made sure Linting is not ignored or disabled.

Automattic / wc-calypso-bridge