You only quoted their first definition.Err...
"If a statement or situation begs the question, it causes you to ask a particular question"
https://dictionary.cambridge.org/amp/english/beg-the-question
The second is:
to talk about something as if it were true, even though it may not be
Right at the top, it says:
Begging the question means "to elicit a specific question as a reaction or response," and can often be replaced with "a question that begs to be answered." However, a lesser used and more formal definition is "to ignore a question under the assumption it has already been answered." The phrase itself comes from a translation of an Aristotelian phrase rendered as "beg the question" but meaning "assume the conclusion."
(emphasis added)
With two definitions so very much at odds, I'd think it advisable to simply avoid the phrase.
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