I think if construct C is not in the paper you need to add new aspects regarding your research in the another paper you wish to produce, particularly in construct A and B. dont know the sample size whether 11 samples are going to make any difference in the research.

You can publish part B, but not a new paper

when submitting a second paper with a dataset used in a first paper that

has already been published, state this explicitly in your cover letter and, even more proactively, attach the published paper with your submission, and consider citing the previous paper (while noting how the current paper uniquely extends the previous paper). Again, we recognize that sharing prior papers with the reviewers, and citing prior papers from the same dataset in the paper, may jeopardize the double-blind review process. However, doing so can help ensure that the follow-up paper clearly contributes uniquely, relative to other paper(s) from the same dataset. Further, to maintain your confidentiality, you may also provide an appendix in the second paper submitted from the same dataset, which clarifies how the prior paper utilized the data vs. how the present paper utilizes the same dataset differently. Of course, doing so can also alleviate any concerns editors, reviewers, and readers of the journal may have regarding any ethical misconduct on your part. Given that the ultimate goal of science is to build and advance our knowledge base, clarifying how papers from the same database uniquely contribute to our literature is clearly important.

Reference:

https://onlinelibrary.wiley.com/doi/pdf/10.1111/j.1740-8784.2011.00228.x

You can publish new paper with additional information but it will be great if u can wait for the paper to be published first so that u can quote the first data scientifically with reference of ur first paper...

If it's too urgent then you can publish new paper using first papers data and additional data not making it similar.

I hope I made my point clear.