New integral

Evaluate:

$\Omega = \int_{0}^{1} \left( x \operatorname{Li}_3(1 - x^2) + x \ln \left( x \ln \left( \dfrac{1}{\sqrt{x+1}} \right) \right) \right) \, dx$

Proposed by: ◆ Shirvan Tahirov ◆