Is this more appropriate for a new friend’s birthday?

My new friend is having a birthday next week. Around the time when we’re catching up for brunch. Mum explained to me (as a confused person with Asperger’s); that it’s inappropriate to buy a gift, unless I treat her to a coffee and a birthday card when we catch up and nothing else. I met the new friend at an Asperger’s syndrome social group, so we’ve both got it.

Is this more appropriate for a new friend’s birthday?
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