An alternative command to compute a logarithmic integral

I am trying to see if Mathematica can calculate: $$\int_0^1\frac{\ln(x)\ln(1-x)\ln(1+x)}{x}dx,$$ which has a well-known closed form. So I tried Integrate[Log[x]Log[1-x]Log[1+x]/x,{x,0,1}] but I waited for about 20 mins and it didn’t show any result, so I stopped the calculations. Is there a command that helps Mathematica calculate the meant integral within few mins?