Well oomis:- Not exactly, because if Rosh Chodesh Teves came out on Shabbos, would only pray Mussoph twice throughout Chanukah, whereas this year we pray Mussoph thrice during Chanukah.
But these 2 scenarios entail not reciting long Tachnun thrice by virtue of Chanukah.
Furthermore, Rosh Chodesh Teves being Tuesday & Wednesday is not the usual unfortunate scenario of 2 times running reciting long Tachnun, when other Roshei Chodoshim come out on Tuesday & Wednesday.