What should I do here?

My boyfriend dumped me a few weeks ago. we haven't spoken at all since the break up. Prior to the break up i had bought his son somethings for his bday which is at the end of the month. Would it inappropriate to send his son the gifts at this point? Because also , as far as i know his son doesn't even know that we split. His dad has told him im working a lot these days. His son will be 8 .
What should I do here?
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