Mac mini (2024) - Tech Specs - Apple Support
"Apple M4 chip
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"
So a M4 Mac mini with a plain M4 chip can drive a pair of Apple Thunderbolt Displays (27-inch) (model A1407). It would be even possible to connect a third display, (but NOT one with 8K resolution or a 240 Hz refresh rate) at the same time.
If at least one of the Thunderbolt Displays has a good "hydra" cable, you should be able to figure out some way to daisy-chain both displays from a single Apple Thunderbolt 3-to-2 adapter. If both of the displays have bad / flaky "hydra" cables, daisy-chaining will not be an option, and you will need two adapters (along with two TB 1/2 cables for bypassing the permanently-attached ones).