I don't know about your specific car, but most cars have a way of increasing the idle speed a bit when the A/C compressor turns on.

On my car there is a signal sent to the idle control module under the passenger floor front. Then that module adjusts the idle control valve.

On newer cars, a signal is sent to the engine computer from the A/C system. Then the engine computer adjusts idle up a bit.

Check your factory service manual A/C and idle control. See if it says what the idle should be normally. Then what it should be increased to with A/C on.