I get your point but it seems that extended thinking is based on a hidden system prompt that is not so much affected by the style the user defines. Probably it'

I get your point but it seems that extended thinking is based on a hidden system prompt that is not so much affected by the style the user defines. Probably it's a bit in between. https://docs.aws.amazon.com/bedrock/latest/userguide/claude-messages-extended-thinking.html#claude-messages-extended-thinking-cost https://docs.aws.amazon.com/bedrock/latest/userguide/claude-...