Job Changing(Permanent to fixed contract with blue card)

Hello everyone,

I came to germany 15 months ago with unlimited contract as a Bluecard holder, now I've changed my company in same field with fixed contract(2 years) salary is same
My blue card is 4 years since my contract was unlimited but now I have a limited contract, will it change the expiration date of my blue card?

I've reached out to immigration office from here(https://www.berlin.de/einwanderung/ueber-uns/kontakt/formular.1279374.php) with required documentations but no one is back to me over a month, should i do anything? I've already started my job

Thanks for the help!