A few things of note: first, folks that haven’t read this other post will be missing some important context regarding the project at hand; it’s helpful to keep related inquiries in a single thread, so that sort of connection doesn’t get lost over time.
Second, there’s no “push” to be had here; the solenoid mentioned will provide a retractile force when power is applied, with extension of the plunger achieved using spring tension, gravity, or some other such external force when power is removed.
Last, it appears that there may be a misapprehension of the duty cycle spec occurring here; the part number mentioned is designed to be operated for 0.1 second or less at a time, a maximum of once per second. The force exerted by the solenoid persists only so long as power is applied, which would not appear appropriate for a louver/vent control application without provision of some sort of external mechanical latching mechanism.
The simpler approach to the task at hand would appear to be using the -12C variant of the solenoid (DK P/N 1144-1410-ND) which is suitable for continuous operation, to either open or close the louver with the return operation achieved by spring, gravity, etc. The 12V control signal could then be used directly if it is capable of delivering the required current and adequately protected, or perhaps used with an intermediate relay if it is not.