Can't seem to find clarification on this, it always just directs me to the Mounted Combat rule.
Mounted Combat
[...] The initiative of a controlled mount changes to match yours when you mount it. It moves as you direct it, and it has only three action options: Dash, Disengage, and Dodge. A controlled mount can move and act even on the turn that you mount it. [...]
Rules as written, can a rider attack, have the mount take the Disengage action and move, and make another attack on the same turn?