In Red Notice (2021), Since Bishop and Hartley are working together, why would she keep telling Interpol where Hartley is?
The point of the con is for Booth to take Hartley to the third egg.
This involves both Booth and Hartley having a common cause, firstly in being on the run together and, secondly, hopefully getting the other eggs away from Bishop.
So Bishop reveals that Booth & Hartley have escaped from prison to Das so that she will continue to chase them thus adding pressure on the pair.
And the third egg, well, the only way for us to get our hands on it was if you led us right to it, which you did.
I thought for sure you were gonna see through my "We're not partners, I gotta clear my name, I'm Johnny Law, blah, blah, blah."
To be honest, I thought I laid it on too thick in the prison.