Try kagi.com
I you have to pay for it, but t’s amazing
Your point is not unique: all websites require your trust.
So if that’s your threat model you can’t use any search engine.
But if we want to put that aside and discuss their stated policy, then the link I provided addressed the parent statement that
In some cases they must retain the information. Like your ISP in the USA had to retain data for le purposes.
Which directly refutes that there is any such requirement.
Your statement contradicts their stated policy, and I’m not aware of any such requirement in the US.
https://duckduckgo.com/privacy
IP retention is addressed in the first paragraph under “privacy policy”, and it stated they don’t save or log it.
I’m confused regarding why you don’t consider telegram a private messenger.