The Piagetian process that was at work here in the given excerpt is accomodation.
Explanation:
The three basic components of the Piaget's cognitive theory are namely
1. Schemas - these are the building blocks of knowledge.
2. Adaptation process - this includes equilibrium, assimilation and accomodation.
3. Stages of cognitive development - former operational, concrete operational, preoperational and sensorimotor.
Accomodation:
The accommodation stage is when the existing knowledge (schema) doesn't work and it requires a change or an updation to deal with the upcoming situation.
Here, Dave makes an accomodation since his old school of thoughts did not fit in his present scenario.