Is it Permissible to Follow Different Ramadhan Start and Eid Dates Due to Work and Hometown Differences?

i am not sure if this question is Duplicate because i can't find the similar question so i will just ask. Currently I work far from my hometown, and in my work location, the local community begins Ramadhan one day earlier. However, in my hometown, Ramadhan begins the next day. Since I will be returning to my hometown to celebrate Eid al-Fitr, I am wondering if it is permissible for me to follow the Eid date in my hometown, meaning I would be adding an extra day to my fasting, as the local community in my work location may observe Eid a day earlier. Is it permissible in Islam to follow the earliest start of Ramadhan based on moon sighting or calculations in my work location, while also following the latest date for Eid al-Fitr in my hometown, even if this means being out of sync with the majority of my workplace local community?