Does it “return to program” after a power failure? Meaning, if it was in cooling mode set at 60, and you disconnect at the power outlet, and reconnect, does it go back to cooling mode?
If it does, I would utilize the inbuilt control. Set air outlet pointing up high, and away from unit in the furthest direction in the room with the adjustment vanes, this will stop it from short cycling and give better temp control. The use of a ceiling fan for spreading and circulating air can be beneficial.
If not, depending on whether it’s a basic compressor or inverter/variable speed, if basic, control board outputs for compressor and fan could “likely” be bypassed or wired to separate temp controller which could have additional wireless control functions. If inverter/variable speed type, forget it, unless this base unit is made in another model that has wireless control built in, you may be able to upgrade the control card to do so.
If you get the airflow correct so it doesn’t short cycle, meaning the cold air doesn’t get back to the air inlet until it has mixed thoroughly with the room air, you may find that it will perform as you need, as it is. If this is in a corner of the room, direct the vanes behind the outlet to the opposite diagonal corner of the room, as well as towards the ceiling.