alternatives for "that being said"

Maybe things like "notwithstanding that" or "nonetheless," or "even so" would work, depending on the context.

Regardless,

Even taking that, (or those things), into account

With that in mind

In summary,

To recap . . .

That's not quite the same context. I don't think the aim is to summarize, but to contrast a previous statement while clarifying that it's still true.

how·ev·er
houˈevər/
adverb
adverb: however
1.
used to introduce a statement that contrasts with or seems to contradict something that has been said previously.

"People tend to put on weight in middle age. However, gaining weight is not inevitable"

synonyms:
nevertheless, nonetheless, but, still, yet, though, although, even so, for all that, despite that, in spite of that . . . .

Thank you everyone for your help.