I'm not really sure pulling out a controversies tab from wikipedia is making the point that OP is trying to make. It's like citing BBC for their controversies
Every single news outlet is known to have issues with factuality. Reporting the news is expensive and the people paying for it almost always want their point of view to be taken into consideration, regardless of state or private funding.
There is a spectrum of factuality, BBC News has problems with the govt threatening to shut it down if it doesn’t report what the govt wants it to report, but it’s no Russia Today, Daily Mail, or Fox News.
>the Middle-Eastern unit were literally showing videos demanding further uprising against Israel across the region directly from Hamas
I am failing to see how an article about Russia's war correlates to OP's claim about Al Jazeera showing Hamas videos calling for an uprising. Can we get a direct link to the article that the OP mentioned?
https://en.m.wikipedia.org/wiki/BBC_controversies