Archon investigation (rules q)

Vamp A is bleeding for 2.
Meth B uses an effect to reduce the bleed by 2.
The bleed of vamp A is increased by 2.

Can meth B now play archon investigation to burn vamp B?

Thanks in advance
Mathias

Archon Investigation checked the current bleed total. The current bleed total for the case you present is 2, which is less than the required amount to play AI.