just popping in to give my 2 cents
i dont know about you sidi, but i think ad dlo yada is during the seudah specifically, which happens after shachris and mincha, therefore you have all three tefillos before you get drunk. additionally to address oomis (and you along too sidi) matanos l’evyonim is where we learn kol haposhet yad nosnin lo, therefore if it doesnt apply in adar rishon it doesnt apply for our tefillos too
sorry for being a wet blanket