Alligator clips are almost always too big. You can use a 'pointed' probe if that is what you have,
View attachment 1897257 but be *very* careful not to short anything when making measurements. Sounds like the left channel (TR508) has some bias, but less than the spec. And the right channel has no bias.
I'm going to ask you to take some more voltage measurements, you can use the 'pointy' probes as long as you are careful. Before I do that, confirm for me if the picture of the board layout on page 3 of the manual is the top (component) view or the bottom (solder side) view. When you take measurements, you can connect to the component lead on the top or to the solder pad on the bottom. Either will be OK.