Your analogy doesn’t really make sense. Take your passage and add something else: Philip carried his six pound dog to school. Philip bought his six pound dog from a friend.
We are not going to say that the six pound dog is one dog and the second six pound dog he bought is another. The plain reading of the passage would tell us that he bought the six pound dog from a friend and then he carried the same six pound dog to school. In fact you could even leave out the exact phrase the second time and still understand the meaning. Philip carried his six pound dog to school. Philip bought his dog from a friend.
If the passage wanted us to know it was another dog then it would have to state that. Philip carried his six pound dog to school. Philip bought his 230 lb dog from a friend.
In Exodus we are told to complete our work in six days because God created in six days. It doesn’t use two different words. It doesn’t introduce the second six days as GOD time and not earth time. The plain meaning is clear and you are jumping through hoops to explain it away.
Although all 24 hour periods might be yoms, all yoms are not necessarily 24 hour periods. Anyone who has ever been a party to a custody dispute, rental agreement or labor negotiation knows that you can't even arrive at a plain meaning of the word day in English, let alone ancient Hebrew. When referring to the word day do you mean:
1) a legal day as defined as the period between midnight and midnight
2)An astronomical day as defined the period between noon and noon
3) The day light hours only
4)the period of rotation of a planet or a moon on its axis
5) a specified day or date (the day of the hearing)
6) a specified time or period : age (in grandfather's day)
7) the conflict or contention of the day (fought hard and won the day)
8) the time established by usage or law for work, school, or business
9) an unspecified past or future time (one day)
10) one'd life time (to spend one's days)