keyless ignition(original key lost)

hi guys, about a year ago, i bought a gen2 2006 Prius, really happy with the purchase,.
However, looking deeper into what i bought i noticed that i have keyless access(black button on doors which locks/unlock vehicle and i can also enter the vehicle by just pulling the handlebar)
the problem is, the car had accident, and the original key was lost, so the guy who sold it decided to go easier route and made a "cheap" fob replacement, so with that fob i cant start my vehicle, i can certainly use every "smart" feature of the keyless entry but can't start the car.
digging deeper into this i found that its not working because that is not the original fob.

question is - is there a way to reprogram my Prius and assign a new "original" fob? if so, what do i need to buy to do it myself?
i am a techy guy and can handle problem like this.
If someone could guide me, previously owned multiple BMW's and know how to program cars, just need someone's advice.


Wanted to add that if i put the fob in the slot it starts the car, but if i try to use "smart" feature, it doesnt start. I already tried to replace the battery on the fob, regardless of the location of the fob, the car can't start "smart"

thank you in advance!

 

yes, i checked that, if i turn it off it also affects my keyless entry so i do notice that for sure

i really cant believe that there is no other way, stupid enough to say "this is stupid", but i really think there should be some kind of workaround rather than a dealer..