.. that you can burn a vampire who attempts to bleed for four (or more) by using an Archon Investigation even though you have a Protected Resources in play? The reason that the reduction of a bleed to two only kicks in when the action resolves, that is the pool is actually reduced by the bleed amount. On the other hand, to play Archon Investigation it is enough that the acting vampire is attempting to bleed you.
In the same sense, when you’re bleed for four and you reduce the bleed by two (e.g. by using Telepathic Counter), you’re still bled by two. The effect Protected Resources only kicks in later, effectively leaving the bleed at two.