When you asked “how do I use Claude code to…”, you invoked the system prompt’s Academy Skill [1], pretty much verbatim.
“When a user asks a question about Claude, a Claude product, or a general "how do I use AI for X" question, check the Academy catalog (see "The catalog" below) for a strong match”
The catalog includes a Claude code documentation hub, and the thinking traces in your screenshot show those docs being fetched. So. Working as intended I guess.
Also, if you turn off web access or simply ask it to answer from internal knowledge about its “own freaking features”, as you put it, you’ll find that Claude does indeed have such knowledge.
[1] https://github.com/anthropics/skills/blob/main/skills/academ...
PS There’s a master .json page of that catalogue that’s actually kind of cool to skim through (ugly as json is).