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Britney Spears[1]' ex-husband -- not Kevin Federline[2], the other one -- is back in her life and seems to be shooting his shot for another chance ... he's joining the #FreeBritney movement.

Jason Allen Alexander -- who you may recall was married to Britney for a whopping 55 hours after their wild, 2004 Vegas wedding -- was outside the L.A. courthouse Wednesday where a hearing took place over her conservatorship ... which has been in force since 2008 after her breakdown.

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Jason reps himself as a bit of an expert on these conservatorship court proceedings -- though it's unclear why -- and tells us he believes it's long overdue for her to be rid of it ... much like thousands of other Britney fans[3].

More interesting though, is Jason says he's back in touch with his longtime friend and brief spouse after not hearing from her for a decade ... and suggests he's been heavily involved in major recent developments in her life.

Jason even admits he's there with the hope of rekindling things with Britney -- claiming their marriage was never given a fair chance ... and he's down for a do-over.

As we reported ... Britney's looking to make some big changes to her conservatorship -- mainly, she wants her father, Jamie[4], to no longer be in charge[5] of it.

As we reported, sources with direct and long-standing knowledge of the conservatorship tell TMZ ... Britney's in a conservatorship because she's not capable of making important life decisions because of her mental illness. They also say if left to her own devices things could go south very fast.

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