Breaker sending power to lights but 3 outlets wont work
The circuit is overloaded, what you will probably find at the last working outlet or first non working outlet the back stabs have failed occasionally a broken wire or a wire nut but the failed backstab is quite common. Do AC units have to be on a dedicated circuit? It depends on the size of the AC and the circuit (15 or 20 amp). I would not put a TV on the same circuit as any electronic equipment because the compressor and blower motors create voltage spikes that can damage the tv , computers, audio equipment, I haven't had problems with lighting in the past but with LED's becoming more popular their driver circuitry can also be damaged I find drivers to be the failed component in most LED's I have repaired. Your issue came from overloading so it would be best to add a new branch circuit to power the AC unit.