Sources familiar with the situation tell TMZ ... the family recently extended an olive branch to Mama June. They told her she can finally get her youngest daughter back, but with 2 big strings attached: dump Geno AND seek professional help.
We're told June said hell no to both.
As we first reported ... she looked worse for wear during alunch outingwith Geno, Monday in Hampton, GA. They both looked disheveled, and June still hadn't fixed her shattered veneers.
You'll recall, Genodrove his truckinto the home he and June share a couple months ago, and was so wasted he couldn't walk.
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IN A BAD WAY
Prior to that ... June's familystaged an interventionthat failed, and left Alana in tears.
Our sources say the family believes June's appearance Monday shows how desperate the situation is, but her refusal to get help -- along with Geno's presence -- is why Alana continues to live with her sister,Pumpkin.
We're told Alana's in a stable place now, despite her recent antics on social media ... when shepretended to snort cocaine. The family even took a recent trip -- sans June, of course -- to L.A. for vacay, and while they want their matriarch back, they want her to get help first.