PCSing out of CT, should I change my state withholding?

I am AD military, and CT is my home of record. I am currently stationed in CT, and will be moving out of state where my cumulative days spent in CT for 2024 will be <183. Based on this I believe that for 2024 I will be a part-year resident. As a part year resident, should I change my state income tax withholding to be exempt once I leave the state, or maintain it as is? It was unclear to me whether I will owe CT state income tax as a percentage of my time in the state, since none of my income is CT-derived, it's solely my military income, or if I will owe tax higher than let's say 122/365*(what I would have owed if I were a full time resident). Thanks!