Will this airbrush do the job?

Don't see why not. I've used a similar one for several projects. The only thing you'll want to be careful of is make sure your paint is thinned enough or that it isn't getting old and has clots in it. Because if it's got big clots that you can see, then you can bet it's got tiny ones that you can't see. Tiny clots that will get pulled into the airflow of your brush and gum it all up.
You may want to test thinning down that paint first. As special a formula as it is you may not get the same effects after thinning it.
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