Yeah as far as I'm aware AoS just needs Extremis not specifically Iron Man 3 before it so that all works nicely!
In case you don't have the book, here's the part about Extremis in 2009, plus how they handle the Iron Man 1 to Iron Man 2 transition. Exactly like us! They don't mention the "6 months later" bit, however.
Spring 2008 | Vanko's Rage
Anton Vanko, the researcher who was deported back to Russia in 1967 after helping Howard Stark devise early plans for the Arc Reactor, watches footage from Tony Stark's "I am Iron Man" press conference from the Moscow apartment he shares with his son, Ivan. "That should be you," his father says. Anton dies in obscurity, leaving piles of old schematics. His son Ivan was also once a promising physicist, but is now adrift and impoverished after spending 15 years in a Siberian prison for selling Soviet plutonium to Pakistan. After Anton's death, the embittered Ivan begins building his father's Arc Reactor prototype, driven by hatred of the Starks.
2008-2010 | Engineering Revenge
Ivan Vanko puts together the raw materials, tools, and data necessary to complete his father's Arc Reactor designs. While the results are not as refined as Tony Stark's, they're brutally effective. By focusing the repulsor beams through ionized plasma channels, he weaponizes the tech into a pair of lacerating whips. Once the research and design is complete, Vanko devises a plan to use his deadly weapon against Stark.
June 2009 | The Extremis Deaths
Aldrich Killian and Maya Hansen make a breakthrough in their Extremis research, using the technology that activates bioelectrical potential in the body to heal wounded soldiers, including the regrowth of lost limbs. But Extremis remains extremely volatile, and the Phase I trials cause some of their subjects to spontaneously combust in violent, fiery detonations. To cover up this deadly side effect, Killan will later devise an elaborate false narrative to disguise the explosions as terrorist attacks, creating the Mandarin persona as cover for the accidents.