Dry dust is not an issue. You can use the swifter to simply clean that off the surface with that electromagnetic pull. The handle/rod will allow you to reach the mirror. The dew spots (with dust settled over time) are tough to remove with dry wiping.
I have successfully cleaned the primary using the swifter duster handle and a microfiber cloth. Did not need to remove the primary, and the rod helped me reach the mirror from the front. Here is the link to the duster handle -
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Disclaimer - this is my approach, and if you decide to follow it, please do it at your own risk.