Did my waiter genuinely want to give his number, or feel obligated?

I had a nice waiter and we seemed to connect. I wasn’t thinking much of him because he’s a bit younger than me but he was very attentive and went beyond on some things. Asking questions etc just very engaging like most great waiters. Held great eye contact while talking about his 180 turn in his life and we connected over that

my mom on the other hand didn’t really pay attention to him until she noticed how nice he was. Towards the end when everything was done he still asked questions and tried to get us some free tickets.

my mom asked for his number and I believe she suggested us being friends and she said “maybe you can introduce her to some of your friends “

he kind of paused but I think he said sure… but she gave him a piece of paper and he wrote it down

I guess it wasn’t a genuine desire? I told him omg he doesn’t have to do that! I don't know if he said anything but he didn’t say “sure I want to “

Did my waiter genuinely want to give his number, or feel obligated?
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