Verb conjugation of "publier" in French

I am asking you to give me a reply as soon as possible so that we can proceed. Have you ever tested the new version? Many users are waiting for it, and are sending me lots of emails about it.
The system will collect information about the learning behavior and guide the user through a tailor-made process that is best suited for him. This technique is not entirely new but we are redesigning the whole concept of it.
If you have long text messages - please write me a letter. Then the correction is easier for me. I think it's difficult to get accommodation in town. I have many friends in Madrid.