Square Space Search Issue | Password Protected Blogs inner Search not working

I have Square space website from past 10 months.  I'm facing many Issues Regarding Square space and there Team as well. Unfortunately, There are many issues that's are not solve. 

• when ever we search any thing in main website. It will open the page not the Index. Then Design and the content is Broken.
• The major issue I'm facing is. Once we add password protecting in our Blogs and add "Search specific page" (Limited results to one page.) in Blogs then it give error always. I request many times to square space regarding my issue and at the end created a ticket on Dec-20th-2022 about my Search issue. Then they start replaying me, "Our team is working". At the end on Jan-25-2023 the refused and said its not possible gave me article "https://support.squarespace.com/hc/en-us/articles/217594457-Adding-search-to-your-site#toc-indexed-content" which is published/Updated on Jan-09-2023.