As the others have already said, the battery is being used the whole time the guitar is plugged in. Check battery voltage or change it. Having said that, when my battery is low I do not notice more noise, but on very clean tones there will be some unwanted distortion and small output drop.
During your next string change, carefully lift off the pickguard and turn it over. There are two trim pots (marked TPA and TPB one for each single coil pickup) which allows you to increase the noise cancelling by turning clockwise. Factory position is in the middle.
If that does not help, bearing in mind that components in modern circuits should hold their value for many decades (at least), I don't expect a circuit problem with the guitar in the two months since you bought it. That would suggest a change in noise level might be due to a change in environmental noise, i.e. one of the noise sources around you has gotten worse or a new one has appeared. Could be a dimmer switch for lighting (often quietest all the way up or all the way down), could be a transformer, TV or old computer screen, or some other new device near to you.
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