First correct the drainage problem. It will probably require re-grading the area. If you try putting bricks in a muddy area they will be unstable and a falling hazard.
Hello Boo, Zard is correct, you need to correct the drainage first, you can do that by redirecting the water via a drainage ditch, then then you can add fill and sand for a foundation to put the bricks on.
I agree both: You never get mud in a well drained area. And you will need some Sand.
Did you know You can create Drainage Pipes by Taping a Towel around a Pringles Can and Pouring 3" of Cement around all sides of the Canister? And Create water tanks With paper bags around old tires or by Using Gallon Milk Jugs filled with Water, to pour Cement Around those too? You can.
Once you invest $180 in $5 Bags of Cement to secure that Drainage in place, then you will also have ability to make your own Wall, Patio, Gardening and General Purpose Construction Bricks.
Here are some suggestions for you.