How can I stop my daughter's father from using our daughter for attention?

[Samantha]

I know this sounds childish.
My ex husband, daughter's father has not spoken to his daughter since Christmas and has not seen her in 2 years. His phone calls are usually once a month. He also does not pay child support. He will send her gifts every now and then.

Side Note: Please do not judge me for not "going after him for child support". He is making minimum wage and if I had his wages garnished he would not be able to survive and although I do not care for him much, I do not wish him to suffer. Also, if I went through the state and he did not pay, they would suspend his license and/or arrest him, which does absolutely no good for anyone so there is not point in my own opinion.

As a courtesy I will email him photos of our daughter and give him updates. I am just trying to do the right thing. He will then take the photos and post them on to his social media and talk about how much he misses her and will then make up stories about "how smart she is" and "she told me this the other day". People will praise him for being "such a great father!" Yet he does less than the bare minimum.

My issue is that this bothers me so much and I have no idea what to do about it while maintaining civility with him. It also makes me feel angry, like my daughter was used. I just want to do the right thing for my daughter and keep the peace but I am not sure how to go about it.
Any constructive comments are greatly appreciated! Thank you for reading.