Do I have to repeat my prayer if I realize after salah that I had pigeon poop on my clothes?

So Islamically speaking, birds which are permissible to eat, and if you go to the Middle East, for example, pigeon is often a delicacy because Islamically it's permissible to eat, the excrement from them would not be something impure, meaning let's say you were to get some bird excrement on your clothes, it would not be impure, meaning you could still pray with those clothes on and the Salah would be valid. Yes, of course, it naturally better to wipe it off and change your clothes if possible, but strictly speaking, it would be permissible to pray in those clothes and the Salah would be valid. And with many evidences for this, the Prophet ﷺ in Sahih Bukhari mentioned about the camel urine. And also, we know in another hadith, the Prophet ﷺ told the Sahaba to pray in the pens of sheep, meaning where they would be. So no issue in terms of your validity of your Salah with those clothes on.