I think it's a polite form of the imperative, but why is "to" at the beginning of the sentence? Shouldn't it be started with "try"?
The kid has used "to try something new" to continue in response to the woman's question. Although he has omitted words from the question for brevity, you can understand it as "(I would tell kids) to try something new." In any case, "try something new" is also grammatically correct and acceptable as an answer. In this context, both work well here. When we are describing lists, commands, imperatives, or answers to a direct question, we can keep the verb root "to" in our responses. Ex: A: What do you want to be when you grow up? B: To be a pilot./Be a pilot. Ex: A: What is the most important thing in a marriage? B: To respect and love one another.
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