Have you made many boxes of pre-mix brownies? You may remember that on the boxes they'll say "for cake-like brownies, use x number of eggs. For chewy brownies, use y number of eggs" (where y is always smaller than x). Egg is a binder, and will tend to create "taller" structures, leading to higher, cake-ier cookies. If you want chewy, you probably want a smaller amount of egg.
For the liquid, yes, possibly water. Oil possibly as well. How much of either would depend in part on whether you had any of either in the original recipe. Other liquid sources are also possible, limited only by your imagination. Here are some that you might want to consider at various times:
water, oil, egg (though not for this one), buttermilk, milk, cream, juice, alcohol (especially liqueurs, though remember that the alcohol itself will burn off, so it'll look like more liquid than it functionally provides), Italian soda syrups (DaVinci is good for sugar-free), pureed fruit, beer (can be good in certain breads, for instance).
And let me just say that I think you're brave for creating your own recipe for cookies. Baking is so much of a science that I'm usually loathe to mess around with it much. I'm much free-er with cooking. But I tend to follow pretty closely to a recipe with most baking. :^)
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For the liquid, yes, possibly water. Oil possibly as well. How much of either would depend in part on whether you had any of either in the original recipe. Other liquid sources are also possible, limited only by your imagination. Here are some that you might want to consider at various times:
water, oil, egg (though not for this one), buttermilk, milk, cream, juice, alcohol (especially liqueurs, though remember that the alcohol itself will burn off, so it'll look like more liquid than it functionally provides), Italian soda syrups (DaVinci is good for sugar-free), pureed fruit, beer (can be good in certain breads, for instance).
And let me just say that I think you're brave for creating your own recipe for cookies. Baking is so much of a science that I'm usually loathe to mess around with it much. I'm much free-er with cooking. But I tend to follow pretty closely to a recipe with most baking. :^)