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The first covenant made to Israel was the Abrahamic covenant

No, Galatians says that was to one man and his seed (Christ). It was not to the nation because they did not become a nation until 430 years after the Abrahamic covenent.

So if God will break His promises because fallen men break His law

God didn't break His promise. But men broke the law which came much later.

Where, exactly, in any of the New Testament, does God say that His promises to the nation of Israel are cancelled?

I already told you...they are fulfilled, not cancelled.

No, Galatians says that was to one man and his seed (Christ). It was not to the nation because they did not become a nation until 430 years after the Abrahamic covenent.

The first covenant with Israel, the Abrahamic covenant, is detailed in Genesis 12:1-3 and Genesis 15:18-21. Genesis 12:1-3 says "Now the a LORD had said to Abram: Get b out of your country, From your family And from your father's house, To a land that I will show you. I will make you a great nation". The Abrahamic covenant was made with the nation that God would bring from Abraham, and, since the Abrahamic covenant has not been fully fulfilled but will be during the millennial kingdom with the nation of Israel, it is the first covenant God made with the nation of Israel.

At the time of the first covenant, Jesus would not come on the scene for a few thousand years after that covenant was made.

Here was your statement:

If you remember, the first covenant presented to Israel was conditional. Israel wasn't able to keep it.

Aside from the fact that Israel was incapable of keeping the first covenant because they weren't party to it, the fact that they have broken God's law repeatedly does not mean that God will break His promises to them any more than when Christians break God's law, Jesus will break His promise to save them.

I already told you...they are fulfilled, not cancelled.

Jesus fulfilled the law, He did not fulfill the Abrahamic covenant, nor any of the other promises that He made to the nation of Israel.

“Do not think that I came to abolish the Law or the Prophets; I did not come to abolish but to fulfill. (Matthew 5:17)

There isn't not one mention there of the promises God made to His covenant nation, Israel. Jesus fulled the law, not any promises.