@non political in high school we learned chumash bchevrusa grouped according to levels. My level focused on rashi, so we learned chumash rashi, and mefarshei Rashi such as mizrachi, gur aryeh (Maharal), sifsei if necessary as he usually summarises mizrachi, lvush haorah and baer basodeh.
After we finished learning the Rashis with the mefarshei Rashi, we learned the other mefarshim such as Ramban or Hachaim, kli yakar Baal haturim.
After all that, we learned the Chassidus on the topic, which brought out the underlying dynamic and its application today in our Avodas Hashem.
The Rebbe in his rashi sichos brings out the way rashi operates, or klalei rashi. We started off learning these klalim so we would know what to look out for. It also taught us to appreciate the precision of each word.