<Qua-2025-767>, hint

By Menelaus theorem to ABC with MPQ,  Line MP cuts BC extended in Q

Then (AE/EB)(BQ/QC)(CP/PA)=1, BQ/CQ=3/1.

Since ON//MQ , OP/PC=NT/TC=1/1, T is the intersection of MQ with CD, 

AB/NC=MB/TC=3/1, A,N,Q are collinear