«تَعَارَجْتُ لَا رَغْبَةً فِي الْعَرَجِ، وَلَكِنْ لِأَقْرَعَ بَابَ الْفَرَجِ»
I affected a limp, not because I wished to be lame, but to knock at the door of relief.
Taʿārajtu belongs to the pattern tafaʿʿul and suggests making oneself appear lame; ʿaraj is lameness and faraj relief from hardship.
The rhyme ʿaraj / faraj carries the whole comic strategy: the appearance of disability is presented as a way to secure help. This is a revelation about the character’s performance, not a medical assessment.