I think Seiko automatic watches are accurate to 20 seconds per day.
3 minutes per day sounds like my hand winding vintage watch.

But a brand new watch shouldn't be off by that much.
Quartz watches aren't 100% accurate, but they are very good way of timing your automatics to get a good idea of how far off it is.
Also pay mind that the accuracy of automatic watches may be sensitive to how you wear your watch eg clapping, fast movement of your hand etc..