Each dungeon has 7 types of groups trying to join it.
The exploration mode category contains the paths you mentioned.
Most exploration mode only has 3 paths, seldom 4, I’m not sure if there is one with 5 paths.
So 4-5 different “types”, not 7.
Not really:
TA Story – 1
TA ex up – 2
TA Ex F/Up -3
Most groups don’t go beyond this as the other path is a tad longer and more difficult. Most players now if they do TA are looking for Explore Up – F/Up as it can be done relatively fast and 120 tokens isn’t bad.