[Site]: Test and deploy time increases and deployment failed after markdown link check action was modified

[yzeng25]

Current State

Description of the current state/issue:

1. feat : Markdown Link Check Action #1656 was merged on Sept 1st.
2. Before Sept 1st, most pull requests' ci checks only take less than 5 minutes, see master branch commit history.
3. After Sept 1st, blog: add release notes for 3.5.0 minor release #1672 's ci checks took 61 minute; fix: fix link in 3.5.0 release notes #1673 's checks took 70 minutes; doc: release APISIX 3.5.0 #1674 's took 85 minutes; #1677 : Changed Twitter Logo to X #1678 's checks took 75 minutes.
4. docs: add APISIX-integrates-with-Coraza.md #1676 , #1677 : Changed Twitter Logo to X #1678, and site: Update twitter new x icon #1681 failed with similar error message, see their error logs: 1676, 1678, and 1681. The error messages are saying the sitemap is missing.

Impacts

1. Modifications from docs: add APISIX-integrates-with-Coraza.md #1676 , #1677 : Changed Twitter Logo to X #1678, and site: Update twitter new x icon #1681 are not showing up in the production environment.
2. It takes 60-90 minutes to wait for the ci check result, and the result is not a guaranteed pass.

Desired State

Description of the change you are proposing:

I would suggest revert #1656 . and use the previous ci check components.

Would you like to fix this issue?

No. Please assign another contributor

[yzeng25]

cc @SkyeYoung @guoqqqi @LiteSun @bzp2010 @utkar-sh-ukla @juzhiyuan

[yzeng25]

#1679 failed with similar error message, see https://github.com/apache/apisix-website/actions/runs/6157118834/job/16707200164