From the Technical Specifications for the new Mac mini:
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M4
Simultaneously supports up to three displays:
- Up to three displays: Two displays with up to 6K resolution at 60Hz over Thunderbolt and one display with up to 5K resolution at 60Hz over Thunderbolt or 4K resolution at 60Hz over HDMI
- Up to two displays: One display with up to 5K resolution at 60Hz over Thunderbolt and one display with up to 8K resolution at 60Hz or 4K resolution at 240Hz over Thunderbolt or HDMI
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If at least one of those 27" Thunderbolt Displays has a good "hydra" cable, you might be able to get away with just a single Apple Thunderbolt 3-to-2 adapter. This would save you $50 and the use of one of your Mini's TB ports.
- Plug the display with the good "hydra" cable into the Apple Thunderbolt 3-to-2 adapter, using the TB head of the good cable.
- Daisy-chain the second display to the first. If the second display has a bad or flaky "hydra" cable, get a separate Thunderbolt 1/2 cable and run it from the daisy-chaining port on the second display to the daisy-chaining port on the first.