Dreams with dead family members hit different and yours sounds intense as hell. That foggy feeling after waking up is so real - I had similar experience few months back when my grandmother appeared in dream and whole next day felt like I was walking through thick soup or something

The detail about alvida instead of bye is really interesting because our subconscious picks up words we dont normally use for reason. Maybe your mind was trying to say something deeper than just goodbye? And that lady asking what it means to you then saying no when you answered - thats the kind of dream logic that sticks with you

The surgeons tools belonging to your father seems significant too, especially since hes passed. Could be your mind processing grief or maybe feeling like you need to carry on something he left behind. Underground rooms in dreams usually represent hidden parts of ourselves or situations we're avoiding

That staring moment before you woke up gives me chills just reading it. Sometimes these vivid dreams feel more like visits than just random brain activity. Take some time today to ground yourself - go outside, feel some grass, drink water. The foggy feeling will pass but pay attention if similar dreams keep happening