Which aspect does not fall under the agency's quasi-judicial powers?

The aspect that does not fall under the agency's quasi-judicial powers is engaging in legislative processes. Quasi-judicial powers are those that allow an agency to make determinations on specific cases, similar to the functions of a court, which include making decisions that have the force of law, issuing rulings akin to court decisions, and reviewing compliance with established regulations. These powers involve resolving disputes, interpreting regulations, and enforcing compliance, thereby establishing a factual record and issuing decisions based on that record.

In contrast, engaging in legislative processes involves the agency's ability to create rules or regulations that apply broadly, rather than deciding on individual cases or enforcing compliance. Legislative actions typically encompass rule-making authority, which is distinct from quasi-judicial functions that deal with specific cases or disputes. Therefore, the correct distinction lies in recognizing that quasi-judicial powers pertain to case adjudication rather than general rule-making or legislative actions.