Final answer:
The appropriate nursing action is to administer the medication with water to drink.
Step-by-step explanation:
The appropriate nursing action before administering oral medications to a client with late-stage dementia is to administer the medication with water to drink. Since the client can swallow, giving the medication orally is the most common and recommended route. Changing the medication route to intramuscular (choice A) would not be appropriate without a specific indication. Mixing the drug with pudding (choice B) may not be safe as it may alter the drug's effectiveness or absorption. Requesting a speech therapist's evaluation (choice C) would not be the initial action in this situation.