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The Aquaman star welcomed her first child, daughter Oonagh Paige, in April 2021.
People are already calling out the "distasteful" jab, made by Hannah Waddingham's character.
"I want to address what is one of the most thoughtless, insensitive, and ignorant things I’ve ever done,” she wrote on Instagram.
The docuseries Depp v. Heard is slated to hit the streaming service next month.
The Aquaman actor moved abroad after a highly publicised defamation trial with ex-husband Johnny Depp.
The Aquaman star wrote on Instagram that she'd made the "very difficult decision to settle the defamation case brought against me by my ex-husband".
The stars are still battling over a defamation case that went largely Depp's way.
The Aquaman star's ex-husband Johnny Depp sued her for defamation last month.
In documents filed on Friday, the Aquaman star’s team said a mistrial ought to be declared.
The Aquaman star's legal team have claimed the verdict was not supported by the evidence presented during the six-week trial.