Yes. Almost any paint or primer can be used to seal new drywall. You
may want to thin some of the thicker paint so it will soak in a bit
more. Some paints may bubble a bit so it's a good idea to check the
surface for bumps/nibs to see if you need to do a quick knock down
sanding before applying the top coats.
Why not use something made for the job? Several wallboard makers offer
tailored primers. They are cheaper than other primers, go on faster,
cover better and let you use fewer finish coats. If that isn't
important for this project, then use anything you have lying around
that is still liquid.
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