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Generally, the management can be approached by simply indicating to them that the tenant might be willing to move out early, if a proper amount of compensation can be offered.
In many cases management / landlord would be willing to offer a sizable amount of compensation, in order to "get rid" of a rent stabilized tenant and the amount of compensation might exceed the annual lease rent amount, depending on how much profit the management can make with a new tenant, if the rent stabilized lease is terminated earlier.
I wish you the best of luck!