Red and Blue dragon fights were part of your pilgrimage. The first part of the tournament was the last story Yui. The second part was recently released in the latest update on Patreon
Hmmmmmm, it says i finished yui, but i never got past the pilgrimage. Unless the meeting was it. I thought there would be fighting, but i could be remembering it incorrectly. I believe it has been well over a year since i read it
The pilgrimage is the trainings with Kaede first then Shizuka. There is a bit of fighting with those but it hasn’t happened yet with the tournament part yet xD