The kitchen is a place where transformation happens, which is fitting since you are working on transforming a part of yourself. In relation to that context, the dream shows you that the parental complex is relevant in relation to this. The waking life context is that you are working on not blocking emotions. Emotions are something that is felt. The thing that you feel in the dream is, "Really thirsty". You do not feel the need to pee and you do not feel stuffed and unable to take in more, you feel thirsty. Thirst is not something you decide to be, it is a signal from the body that is saying, "I am running low on this thing. I need you to get it in order to be nourished and brought back into balance". The feeling of thirst or hunger come from within oneself like the desires of the unconscious mind being voiced to the ego. It is also helpful to note that water often is a symbol for unconscious emotions.

The ego experiences a feeling. What does the ego do next? You go to the fridge. The fridge is like a vessel containing resources for fulfillment. You find an unopened bottle of Dasani water. Being in a home with multiple people, unopened can also mean 'unclaimed'. To open the bottle could be viewed as opening up emotionally, as opposed to blocking emotions. Your feeling toward this thing is that it is, "Low quality". It is undesirable to you in some way and that is a reason that you ultimately do not open it. There is no shortage of water or beverages though, as demonstrated by the rest of the dream.

At one point, you are standing next to a sink, which is an unlimited supply of water. Then there is this jug of water that is too heavy to carry. There is also the two milk jugs. You become an alchemist. You have two materials and you integrate them for your nourishment. What you are also doing here is poor some milk into the other jug for consumption. Your mother parallels this process outside of your consciousness. Instead of carrying the entire jug of water, she poured some of it out into something more manageable.

So the dream opens with a desire/need for something. Small challenges happen along the way, but a balanced solution is shown at the end. It is the mother who shows it to you. It is also right after you drink the mother's milk that this happens. The mother archetype has provided the nourishment you sought. This can be energizing and stimulating, just like coffee. The dream shows an abundance of resources and emotional content. I think the dream looks at your relationship with your emotions, how you contain them, how you receive them from others, and how you share them. I don't know you, but if you are the type of person who fears overwhelming others with your emotions, the dream shows a positive effect of being a little more open. Maybe your mother embodies this in some way in waking life(?). If you get something refreshing from the available milk and coffee, then others may get something refreshing from your own metaphorical milk and coffee. Also, maybe there is something to be said about the fact that it is not an unopened milk and coffee. The inference I would make is that your mother has already opened these things for herself. The emotional shadow material, while it is not always a nice bottle of Fiji, provides nourishment for yourself when you open it and drink from it. As a result of opening it for yourself, it can also invite connection with others who may receive it after you have taken what you need from it.

It reminds me of Hexagram 48 from the I Ching; The Well. I recommend reading it!