All brake fluid is synthetic, even if it doesn’t say it.
You’re looking for DOT 4. Get a new can for the job.
DOT 4 is what should be in the bike already and you can add the new DOT 4 to that, although since you’re doing a brake job I strongly suggest you bleed and refill the front brakes, rear brake, and clutch with brand new DOT 4 fluid.
And the DOT 3 or 4 (sometimes DOT 3/4) that say synthetic on the container are just doing that for advertising. Replace the fluid every 2 (or fewer) years, and always from a fresh can, because it absorbs water from the air, which makes it boil at a lower temperature and turn brown faster.