Question is answered: 273 Engine Block Decking

IIRC those engines came with steel-shim headgaskets at .020.
If you typed .057 correctly, then you have just created .037 more room, so taking off .015 means you still have an extra .022 That's a lot, and possibly nearly 5cc. That's a huge loss of compression in that engine. IMO, you need a new game-plan.
If the decks are serviceable,you could get the same results with headgaskets .015 thinner, or .042.. without spending all that money.
BUT
If the pistons are pop-ups, that is to say, if any part of the new piston comes above the deck... as it currently stands, then STOP, you need a new plan

Good to know. As I commented, i am no mechanic, and I will be assisting a mechanic when we get to the assembly part of this project. The block is already decked, so, the $$ is spent on that, an, when I called them this a.m. the cylinder boring has begun. Therefore, I guess I am putting my trust in the machine shop on what work they recommended and have done. At this point, I guess we will have to see how it goes together. The heads have, what appears to have a wedge shape which, I would guess, allows room for the piston half dome to enter along with the relief in the pistons on one side, for the valves. I did not take any photos of either the pistons, the head chamber, or the block. Maybe it would be best to post these photos when I get the parts back, and before I begin ANY assembly, then post my questions . Thank you for your advice. Old Dart 66