So tired of this waiting game with NYC

So I've been a NYC employee for 8 years now with the same agency. I had applied for a new position about a year ago and was hired, went through the whole OMB nightmare. I started my new position on 3/24/25 and started all the title change paperwork. The thing is...no one told me my new salary would not start immediately. I'll have to wait for the title change to be approved. So here I am again waiting and HR cannot give a date in which it will be approved. I'm so annoyed and frustrated at how slow the city moves at doing anything. No correct pay= I'm not putting any effort into anything anymore. Will I at least get back pay????