Sorry if this is quite a basic question, but I've reviewed the rule book a few times and haven't been able to answer it myself (although I appreciate that doesn't mean the answer isn't there, but I've just not been able to find it!).
When a Runner encounters a rezzed piece of ICE, that ICE has a numeric strength and perhaps a number of subroutines (as well as encounter events/abilities, but those are not relevant to my question). I think I understand that when it comes to the subroutines, as long as they are either broken or do not include "End the run" as an effect, the Runner is not prevented from proceeding past the piece of ICE, but I'm not 100% clear on how the strength of the ICE factors into this.
I know that the Runner must have an installed Icebreaker with at least the same strength as the ICE being encountered in order to be able to interact with the ICE (and therefore break the subroutines). But my question is: Does the type of the Icebreaker need to match that of the ICE being encountered to be able to use the strength to gain access to interact?
So for example, if the Runner has an installed Mimic icebreaker, which has a strength of 3 and the ability to break Sentry subroutines, can it be used to gain access to a non-Sentry piece of rezzed ICE which equal or lower strength, with a different icebreaker (with a strength lower than that of the encountered ICE) then used to break some/all of the subroutines (or not, if the Runner is happy to let the subroutines run)?