I don't know M56 , here goes : See if your manual recommendation "subs" to Mob 1 ATF , I use that in J30.
Front wheels jacked clear of ground , makes turning wheel easy & NO tire scrubs off. Take those wide mouth funnels (that fit in 1" oil fill hole ) they fit / butt right to the open ps pump (cap removed) , and use duct tape to get a leakproof seal/connection , 2nd wrap with electrical tape to be leakproof for sure. Remove , preferably f/pump , ECM , Injector fuses , cause your gonna "crank only w/no start" . Now you locate (you really have figured this part FIRST) the "return" to pump -" lo pressure " side hose and quickly disconnect ,cap the return nipple at the pump .Now attach that diconnected "return" using a Union fitting to another length of 5' ps hose layed into drain pan .Have 2 ,3,maybe 4 quarts of ps fluid open & ready (your first ps flush will be extremely dirty, needs big flush) .
Procedure is w/someone in car , unlock steering and turn wheel full Rt (tape @ 12oclock for full L & full R helps visually not to "hard bump" spindles) - this is starting position. Now you are ready holding quart of fluid while buddy cranks motor and turning wheel completely L ,immediately turn completely R to starting position - all the while you are trying to keep the rsvr. filled to the brim (if you taped funnel well,you can have fluid higher into funnel - you don't want air to go down into pump) .You direct buddy, buddy can stop @ each "full left" or "full right" positions ,as needed to let you catch up - but you direct the operation .Watch as seriously dirty black fluid will come out and eventually after 2 or 3 quarts or more will be clean and red ! It never looks that dirty on the little "dipstick"
And so you reverse the steps, reconnect , tighten , clean- wipe , drop car ,check level , drive figure 8's if any air bubbles cause growling noise . Sometimes if air/foam is slow to "purge" keep turning lock to lock for up to 10 minutes of fig 8's , and shutting car down + letting sit for 2+ hours or just "repeat driving" gets it better.
The noise WILL go away if persistant like my J30 and has never left any problems , don't be scared.
Like 5% of the cars maybe finniky to purge any air THAT YOU LET in THERE
My Olds "straightens out " in 5 min.of any air trapped !