Doing some searching online, the Kukje tractor "brand" in the US is Branson....as of 2009 or so it is.
Here is the Korean Link:
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On that page is a button on the top right, that says "ENGLISH" and when you click on it, it goes to the Branson Tractors. I would suggest contacting Branson w/ your Kukje model and serial number and asking for a PDF owners manual. There might be a compatible/compatible Branson model also. Worth a try.....
Looking here:
Kukje - Tractor & Construction Plant Wiki - The classic vehicle and machinery wiki
It looks like Kukje built copies of Yanmar starting 1980. I don't know if your tractor is a Yanmar copy, but if it is......
But, most tractors of the 1970's and later use combined oil sumps....as in the transmission oil is also the hydraulic system oil. Deere & Ford did this.
When it comes to universal hydraulic/transmission fluid, I would go w/ the medium priced oil. I have heard of stories of the "cheapest" not having the correct additives for seals. A local farmer told me a neighbor bought the cheap, cheap, cheap stuff since his tractor leaked so much. When he finally got the leak(s) fixed, other issues came up since he was using such cheap oil for so long.....just a story worth passing. If it were I, I'd get the mid priced stuff for two times, the the less expensive oil once,then back to the mid price....but that is me.
As Soundguy said, just about every auto parts place has a brand.... Walmart, Costco.
I downloaded a Branson manual just to look (dated 2011). Under hydraulic, it listed Branson Origin Oil/Texaco TDH oil, 1893. When I searched online for Texaco THD oil, 1893, it came up with it a pdf that said this:
Texaco TDH oils are high quality, multifunctional fluids, specially formulated for use in transmissions, final drives, wet brakes, and hydraulic systems of tractors and other equipment employing a common fluid, reservoir.
Texaco TDH oils meet the needs of modern tractors for a combination lubricant. They perform many functions, such as lubrication of the transmission and final drive, and serve as hydraulic fluids to operate power steering units, brakes, implements, and attachments. Furthermore, Texaco TDH oils eliminate brake "chatter" and excessive brake facing wear, assure smooth operation of clutch packs and wet brakes, provide excellent shifting action, provide superior rust and corrosion protection for vital parts, minimize leakage because of good compatibility with seals, O-rings, and packing materials. They prevent sludge and varnish formation, protect metal surfaces against scuffing and wear, and provide outstanding lubrication for spur, helical, and spiral bevel final drive gears.
Texaco TDH oils are compatible with equipment manufacturers' proprietary fluids and other fluids of this type.
I suggest, if Branson is of no help, to look at pics of Yanmar tractors and see if one looks similar to your tractor. If it does, odds are it's a Yanmar copy and you can just look for a Yanmar manual (or a JD version of the Yanmar).