Resin infusing a composite preform includes placing a first vacuum bagging film over a tool surface and the composite preform to define a sealed first chamber. A bridge structure has an underside defining a cavity above the first vacuum bagging film. A second vacuum bagging film is placed over the first vacuum bagging film and the bridge structure to define a sealed second chamber. At least partial vacuum pressure is applied to the first chamber to drive resin from a resin supply through the first chamber, infusing the composite preform with resin. Partial vacuum pressure is applied inside the second chamber and an exterior pressure is applied outside the second vacuum bagging film while. The exterior pressure exceeds the pressure applied to the first and second chambers, thereby compacting the composite preform outside of a region, with the bridge supporting the second vacuum bagging film against the exterior pressure.