As explained on the comments, having some other samples might distort your estimations, add an outlier or something alike.
The advantage of having all the three (or all) groups of samples before testing differences, because usually methods like limma, DESeq2 and others uses the information of variation of the genes across all samples to update their prior probabilities and the variation of the genes on the statistical model used to compare between groups.
If the method and your model are robust use all the three groups (generally the methods used are robust, but sometimes the models are not). By robust I mean that it doesn't miss any know (and available) source of variation. Otherwise the comparison might be comparing only the samples not the effect of the condition on the samples. If you only compare the samples it would be equivalent to use a t.test to the limma methods (not completely sure on the DESeq2 case). Or explained differently, you wouldn't take advantage of the statistical improvements implemented on these methods
Usually the reasons why these groups are sequenced on the same batch is because they are related (or to add some known ground truth), so you can release it with the data when communicating your results but you may omit that you used this third group on the methods section.