Is my router's IP address really public?

Is my router's IP address really public? myippublic The question here is if I can set a specific public IP address I don't need to receive a response, just issue a request to parse the request myippublic MyPublicInbox

myippublic Protect My Public Media is an action network of Americans who support continued federal funding for public radio and television stations

myippublic This unique identifier is your IP address and it is automatically assigned to you by your Internet Service Provider The reason your public IP address is not unique is that you and all the devices sharing the same IP address are not directly connected to the internet