If the existing (Special) By-Laws (SBL) are specific to individual Lots, then NO you cannot use those, other than as the basis of yet another one for your Lot provided your proposed renovation is of the same type (i.e. just change the Lot number).
As a generic SBL of the type envisaged could eventually benefit all Owners, then it’s customary for the Owners Corporation to pay, and NO a Strata Manager cannot overrule an Executive Committee but they should in this case be providing some advice.
As much of any further advice would depend upon the type and extent of your proposed renovation, could you please provide some detail about that, and additionally advise if those existing three (3) SBL’s have been Registered on the Strata Title?