Your question appears confused in that if asked that your interest in
the property be bought out by a third sibling, then you would've been
paid the value of your interest rather than you paying anything.
In any event, if the sibling who is doing the buying out wants to provide
the other sibling with the accommodation that s/he is allegedly requesting,
that would be a matter between the two of them and have nothing to do with you since you would no longer be a co-owner of the property at issue.
