Different adjectives following a list in a sentence

Example:

I hope to help with the vision of and research at Booze Drinkers Ltd.

The question is that vision is followed with a different article than ‘research’. In separate sentences it’s vision of booze drinkers, and research at booze drinkers right? Or if this isn’t the best example, I am thinking of situations where what I’m asking about does apply.

I don’t know if you say

• I hope to help with the _____, ____, ____ and, ___ at Your Mom Gay Enterprises.

Or

• I hope to help with the ____ at, _____ of, ____ in, and _____ with Your Mom Gay Ltd.