Why does Brill go outside the van to be observed by the FBI?

Towards the finale of Enemy of the State:

Brill: You're either incredibly smart or incredibly stupid.
Robert Clayton Dean: We'll see in a minute. Watch out for the FBI.
[winks to Brill]

This results in Brill feigning sickness, going outside the van, and allowing himself to be photographed by the FBI.

This strikes me as out of character for Brill, as for the majority of Brill's life he's been avoiding surveillance. I don't think it was necessary for him to do so, in order for Brill and Dean to succeed. Also afterwards, Brill vanishes again.

It seems like Brill should have a strong (even instinctive) aversion to being observed.

Question: Why does Brill go outside the van to be observed by the FBI?

plot-explanation enemy-of-the-state

Best Answer

The result of him being observed by the FBI were quite positive:

The FBI agents saw a bleeding police officer outside of a known criminal organization
They storm in and rescue Dean
Brill can walk away because he was only observed in disguise, from far away

It was a good plan and it worked. If the FBI agents were just a bit faster, they might have even prevented the shootout that put Dean in danger in the first place and Brill would still be able to disappear.

His aversion to being observed is probably surpassed by his aversion to being dead