Remove LYS badge from WPCOM sites

[ilyasfoo]

Changes proposed in this Pull Request:

p1727162923759179/1726818329.636839-slack-C06DJHTE04U

Since WPCOM has coming soon badge shown in sidebar when in coming soon mode, LYS coming soon badge is redundant.

How to test the changes in this Pull Request:

1. Use a WPCOM atomic e-commerce site
2. Enable LYS feature flag (you can set these lines to true).
3. Go to Settings > WooCommerce > Site visibility
4. Set to Coming soon and save
5. Confirm site visibility badge is not shown

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.

[github-actions]

Size Change: 0 B

Total Size: 201 kB

ℹ️ View Unchanged

Filename	Size
./build/53.js	1.08 kB
./build/index.css	731 B
./build/index.js	126 kB
./build/marketing.js	58.3 kB
./build/payment-gateway-suggestions.css	1.24 kB
./build/payment-gateway-suggestions.js	6.57 kB
./build/plugins.js	3.93 kB
./build/style-index.css	2.15 kB
./build/style-marketing.css	800 B

_{compressed-size-action}

[moon0326]

LGTM and tested well 👍 🚀