From Dictionary.com:
Pact - https://www.dictionary.com/browse/pact?s=t:
1. an agreement, covenant, or compact: We made a pact not to argue any more.
2. an agreement or treaty between two or more nations: a pact between Germany and Italy.
Contract - https://www.dictionary.com/browse/contract?s=t:
1. an agreement between two or more parties for the doing or not doing of something specified.
2. an agreement enforceable by law.
3. the written form of such an agreement.
Notice the word agreement in both definitions.
If somebody says to you, "Don't eat the apple or you will die," and you agree with him, you won't eat the apple, except if you are suicidal.
If another guy comes along later and says, "You won't die if you eat the apple. Rather, you will become smarter," who knows if you agree with him until you tell us, right? But if you tell us by eating the apple rather than using words, and if you give some apple to your spouse who you love and would never hurt by causing his/her death, aren't you eating because you agreed with what the second guy said?
If neither of the guys ever said anything, who knows what you would do and how you would behave. You might eat the apple. You might not. But, no agreement in force.
But when you don't eat the apple because of what the first guy says, it is because you agree with him (agreement, pact, contract).
Agreement/pact/contract with the first Guy:
Action that showed that the agreement/pact/contract with the second guy was in force:
I think you are making the mistake of thinking that agreement, pact and contract are exact synonyms. Here's what I found on dictionary.com too:Pact - https://www.dictionary.com/browse/pact?s=t:
1. an agreement, covenant, or compact: We made a pact not to argue any more.
2. an agreement or treaty between two or more nations: a pact between Germany and Italy.
Contract - https://www.dictionary.com/browse/contract?s=t:
1. an agreement between two or more parties for the doing or not doing of something specified.
2. an agreement enforceable by law.
3. the written form of such an agreement.
Notice the word agreement in both definitions.
If somebody says to you, "Don't eat the apple or you will die," and you agree with him, you won't eat the apple, except if you are suicidal.
If another guy comes along later and says, "You won't die if you eat the apple. Rather, you will become smarter," who knows if you agree with him until you tell us, right? But if you tell us by eating the apple rather than using words, and if you give some apple to your spouse who you love and would never hurt by causing his/her death, aren't you eating because you agreed with what the second guy said?
If neither of the guys ever said anything, who knows what you would do and how you would behave. You might eat the apple. You might not. But, no agreement in force.
But when you don't eat the apple because of what the first guy says, it is because you agree with him (agreement, pact, contract).
Agreement/pact/contract with the first Guy:
Quote from: https://biblehub.com/niv/genesis/3.htm
2The woman said to the serpent, We may eat fruit from the trees in the garden, 3but God did say, You must not eat fruit from the tree that is in the middle of the garden, and you must not touch it, or you will die.
Action that showed that the agreement/pact/contract with the second guy was in force:
Quote from: https://biblehub.com/niv/genesis/3.htm
6When the woman saw that the fruit of the tree was good for food and pleasing to the eye, and also desirable for gaining wisdom, she took some and ate it. She also gave some to her husband, who was with her, and he ate it.
Quote
Agreement, bargain, compact, contract all suggest a binding arrangement between two or more parties. Agreement ranges in meaning from mutual understanding to binding obligation. Bargain applies particularly to agreements about buying and selling but also to haggling over terms in an agreement. Compact applies to treaties or alliances between nations or to solemn personal pledges. Contract is used especially in law and business for such agreements as are legally enforceable.
If you say you think Croatia will with the World Cup and I agree. You can say that we came to an agreement inasmuch as we both agreed on the same idea. To me, it seems completely out of place to say that we now have a contract or a pact. Believing something that somebody said does not mean that you have agreed to "listen to him and obey his rules". Sure, you could say you believed him in one thing and decided to do what he suggested you do. There is no scripture that suggests that Eve made any kind of contract to do what Satan wanted her to do in the future. It's one isolated incident.