Should I have left him

[Whydidshedothis]

I went out to meet some friends without my baby for the first time.
My baby is very clingy and always cries for me, even when my partner tries to take the baby.
My friend came back from aboard so we all met up for lunch.
I could tell my partner wasn't too keen about being left by himself but he agreed to watch the baby.
About one hour in, he messaged me saying 'hope you are having fun as he is crying hs eyes out' and then sent me two videos 5 mins apart of my baby crying.
I felt bad at the time and couldn't enjoy rest of the lunch. I left early (finished lunch) but didn't go with them for dessert due to this.
At the time I thought 'oh he's having such a tough time' but when I told my friend later on what happened, she told me my of partner is a narcissist and toxic.
He has this toxic tendency but every other way he is amazing. He makes me laugh, supports me financially so I can afford to take a year maternity and pays for everything.
Am I over thinking? Or am I a bug (unreasonable)

I think it's very telling that the OP calls it "my baby" not "our baby" and "my partner" rather than "the baby's father".

OP, I assume the baby and the partner are actually related?

Bloody awful behaviour from your partner. He is the child dad and should be doing everything to try and settle the baby. Presuming you are not exclusively breast feeding and don't want to give bottles as that may be the only time to call a mum and say I've tried settling for x time but really can't settle them. Definitely shouldn't be videoing the baby and sending that to you. If baby is not exclusively breastfeeding then dad should absolutely be able to put effort into settling baby even if this means going for a late night walk in pushchair to try and distract/settle baby.

He’s sick for doing that. Wouldn’t have another one with him. Who knows how long you’ll last once you come to your senses.

His behaviour was disgusting to be honest. Also would have made more sense to comfort the child instead of thrusting a phone in his face.
He should be happy your getting a break to see your friends not guilt tripping you. I'd show him this thread so he can see the overwhelming evidence of him being toxic

'My' baby?
'He agreed to watch the baby?' (He's 50% responsible. What % does he do?)
He can't be arsed. How long have you been together, he's a poor choice.
I suspect you're not married? Prepare to be a LP. And make sure he pays up.