For the reading of Shabbat Rosh Chodesh of Chanukkah, we take out 3 Sefrei-Torah:
1st sefer, reading of the current Shabbat parsha, in 2022, Miketz (מקץ – at the end of), Genesis 41.1 to 44.17
2nd sefer, reading of the passage from Rosh Chodesh, Numbers 28.1 to 28.15
3rd sefer, reading for Chanukkah, from the passage of the inauguration of the Mishkan, Numbers 6.22 to 8.4
The reading of the haftarah is done in Zechariah 2.14 to 4.7.
When two mitzvot present themselves to us, which one to choose?
It is a fundamental principle of halakha1: whenever two mitzvos occur together, the one that is practiced most often has priority over the other.
Exceptionally this principle is not applied for Chanukkah, because the message of Chanukkah must reach the greatest number.
Zechariah 4.2
וַיֹּאמֶר אֵלַי, מָה אַתָּה רֹאֶה; ויאמר (וָאֹמַר) רָאִיתִי וְהִנֵּה מְנוֹרַת זָהָב כֻּלָּο
וְשִׁבְעָה נֵרֹתֶיהָ עָלֶיהָ–שִׁבְעָה וְשִׁבְעָה מוּצָקוֹת, לַנֵּרוֹת אֲשֶׁר עַל-רֹאשָׁהּ
And he said to me: “What do you see?” I answered: “I see a candlestick all in gold its vessel on its top, its seven lamps lined up and seven conduits for the lamps which crown the top.
The center is built in the shape of a seven-branched synagogue candelabrum (menorah). It consists of seven marble towers, the highest of which is 20 stories (77 m.) tall. The construction has total floor area of about 50,000 sq.m. There are a synagogue, museums, office premises, shopping spaces, publishing house, art galleries, kosher restaurants and cafes, conference halls, banquet halls, a luxury hotel, youth hostel, classrooms, tourist information center, visa center of Israel. General project design was made by architect Alexander Sorin.
1 Berachot 51b, tadir velo tadir = תדיר ולא תדיר = often and not often.