how to active A/C without Cooling fan Module?

you can't bypass module on a/c, the system is integrated to work together, I would repair the wiring, here is a guide to help and the AC wiring diagrams below so you can see how the system works and where the wires go.

https://www.2carpros.com/articles/how-to-check-wiring

Check out the images (below). Please let us know what happens.