Do you wish your ex a happy birthday?

My ex and I aren't really talking (and haven't been for a few months), but I still consider him a friend and I know he's going through a rough time right now and doesn't have a lot of friends. He said he needs more time before he wants to talk again, but it's his birthday in a week and I'm wondering if he'd appreciate a message.
We both don't have intentions of coming back together, I'm seeing someone new and he's the one who broke it off because he has a bunch of stuff he needs to figure out in his life. But I still care about him as a person and would like to do something to cheer him up a bit.
Do you wish your ex a happy birthday?
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