Comressor engaging and disengaging?

I have a 2003 Ford Taurus with the DOHC engine. When the AC is turned on my compressor seems to repeatedly engage and disengage.



I recently installed a new compressor and installed a new coil pack to try to fix it but it still didn't help. The AC blows still blows cold air just fine. It's just noticeable when I'm idling in park or at a stoplight. I don't want it to seize and f my car up lol.
Any ideas what I should check?

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