The time dilation between the two places is on the order of femtoseconds/second, a millionth of a clock cycle of a cpu.
The accuracy of the delivery of that timesource is 10ns in theory, and upto 1000ns in practice.
But UTC is ultimately defined by consensus. We need a reference clock and we need to be able to measure or estimate our skew in order to sync to it.
The quality of GPS receiver of course is important, it may reduce your precision to to 100ns or even 1000ns, but it will give you the right time. Someone equidistant to two GPS synced clocks will see them both at the same time (within a microsecond)
Snark aside, using the phrase "now" to describe an in-motion event that is observed over 29000 light years is misleading and should rather say "is now observed as 29000 light years away".
Yes, exactly!
"Now" is an extremely useful concept on Earth, when we're all in approximately the same space going approximately the same speed. Now gets a lot done for us.
Now is not really a concept on the universal scale. "There is no meaning to now" is a great take-away from general relativity!
*All these discussion make no sense at all, as neither synchronous remote events nor the concept of what rotates around what are meaningful. This is not to say that we should not have this conversation, but to say that you are being pedantic without bringing anything to the table.