told by HR that maybe after 6 months they would consider bringing me on FT.
Oh honey.
You should talk to the manager about it, but I suspect they will hem and haw, and say something vaguely about looking into it without providing you with any specifics.
Companies hire temps and dangle the "well maybe we'll hire you some day" out there to string them along.
Sometimes temp to hire works out, but in my experience only if the temp period is short as a probation period or if there is writing that after "x" time as a temp they either let you go or bring you on full time. Preferably both things.
If I were you, I'd start tuning up your resume and sending it out now. If your current job comes through then nothing really lost, and if your job isn't actually interested in making you an employee then you should spend this employed time to look for a job without the stress of no income.