Chess intuition not improving.

I need advice in improving my ability to see a position and know what to do quicker. I am able to do somewhat well in Classical games in terms of not blundering, but I don't really calculate position more than five moves (and I don't even think I calculate more than two in blitz). While training, what should I focus on or how many moves ahead should I aim to calculate for in order to improve my intuition and get better at shorter time controls?

In general you calculate more, when there are threats or when you are spotting tactical weaknesses like unproteced pieces or an exposed king. And in some endgames ofc. Practice, analysis and exercises help you to better "feel" the position "intuitively".

You gotta be patient. Improvement in chess is a long-term thing, where stagnation periods aren't unusual. Even the greatest chess players needed several years to peak.