I recommend using either a taperjara with your friend to tranq it or use another bird OR use a gallimimus. For solo tame try to stand on a cliff with the Rex below you. It may sound tough but it can be done. Once you have knocked it out build spikes around it with a little gap so only you can get in and out of your spikey pen
The Rex are very slow . Put a stone gates around him while he is stuck and use a bear trap then put the x3-x4 stone gates then tranq him out . Make sure you clear the area before setting the bear traps others creature can spring it and u would be left with using your self or a tanky dino for a distraction
Stay high up and knock it out then make sure to have plenty narcotics put in creatures inventory and don’t put any meat in inventory access states at check hunger wait until it’s hunger is low while feeding it narcotic when hunger is low put any meat kind at it will start to tame fast.
If you use the bear trap strategy which is if you lead it into a Dino gateway that is shaped in a triangle and with a bear trap in the middle (Large Beartrap) and when it is stuck you must put a dinogate behind it to trap it and then knock out.