This vessel is most likely trash at this point. Time is of essence because tidal is pushing it against shallows and since its not perfectly centered it will eventually tip and with these amount of weight, not much tipping required for the whole thing to snawball. At this time they are figuring out how to quickly remove (save) as many containers as possible. Most likely will happen with another of these monsters to "park" close by and one by one will move the most expensive cargo first.
Another option I got from my buddy who is doing this stuff for life, is suggestion to dig up a whole big enough underneath to actually sunk the whole thing. This can be done in less than one week and is fastest most "stable" option. At this point they are not looking at saving this one vessel, but rather how to get the canal to operate again asap. You probably know it from driving on highway "move aside accident vehicles" is the most important thing to do.
Maybe bring another Evergreen ship there and move containers onto it...?
Depending on contents, some might float very well. Or even dissolve away. My dollar store salt-shakers (with salt) came from vietnam.
The top will be the lightest containers, so I’m guessing that’s where your 40 footer of ping pong balls is sitting.
In other words, just deep enough for ships to come through with little wiggle room. Not as tight as the Panama Canal, but it's not much bigger.