How to connect DC solar fridge to AC300

Question: How to connect Unique UGP-325L DC fridge over a distance of about 25’ to our AC300 BLUETTI battery inverter using preferably the 24V/10A cigarette lighter socket on the BLUETTI battery or, second choice (because of the distance between the fridge and the battery), the 12V/30A port.

This is the fridge: UGP-325L W DC

|Operation: 12V/24V
|Total Watt. hr. stable running (24V DC): 530 Wh/24 hrs
|Power Consumption: 75 W sur 12V/24V
|Min. solar panel Requirements: 240W
|Average run current: 3.2 A on 24V

Need to plug the 10-gauge(?) or 12-gauge(?) DC wire from the fridge into either of the DC outputs on the BLUETTI, preferably the 24V output which is a cigarette lighter socket.

These cables are available from BLUETTI, but not sure if they are useful to my application.

This cable is available from the fridge supplier, Unique Appliances:

Could we get a 24V cigarette lighter plug and connect the 10-gauge wire from the fridge to it?

This cable is available on Amazon:

My electric knowledge is limited. Thanks for any ideas/advice!