My reference lists the following for the 129th AAA Gun BN:
Derived as Separate Coast Artillery BN AA-Gun, at Fort Bliss, TX, 20 May 43; following training, departed NY P/E, 29 Dec 43; arrived England, 7 Jan 44; arrived France-ETO, 27 June 44. re-designatted, 129th AAA BN, 28 June 44;
Campaigns (6): Ardennes-Alsace (Bulge) Central Europe Ground Combat, EAME Theater Normandy Northern France. Rhineland.
Location at war's end, 15 Aug 45: Aiglsbach, Germany.
Arrived NY P/E, 6 Dec 45; inactivated at Camp Kilmer, NJ, 7 Dec 45.
As time permits, I will go back to see what the Army/Corps/ Divsion assignments were. OK?
Meantime, I hope that this will help a little bit.