[joshuaissac]

> "that being said, ..."

You can think of it as a contraction of, 'despite that having been said'.

[willeum]

You can also simply use "that said".

I've always taken the phrase "that being said" to be a variation of the phrase "that said" that isn't as assertive of what was said, relegating it to only "having been said" rather than set in stone