The Output will be a HIGH for any case when one or more inputs are one for a(an)

Logic gates produce an output based on fixed rules applied to their inputs. An AND gate only outputs HIGH when every input is HIGH, a NOT gate simply inverts a single input, and a NOR gate outputs HIGH only when all of its inputs are LOW, the opposite behaviour of what is being described.

The gate that produces a HIGH output whenever at least one of its inputs is HIGH is the OR gate. Its truth table shows that the only way to get a LOW output is for every single input to be LOW at the same time; as soon as one or more inputs become HIGH, the output switches to HIGH.

Remember the OR gate by the phrase "any one is enough": if any single input is HIGH, the output is HIGH.