Given a travel related situation, and given a specific question about the situation, summarize the question into a title

Example input: The green carriage is of course first class. This would be our first preference with our 5 month old baby in lap, because of the presumably larger toilets for changing and whatnot.  However, the baby being a Western white baby... will occasionally babble, screech or cry uncontrollably for a little while.

Speaking in terms of Japanese culture, should we avoid Green class tickets if we are taking aboard a potentially disruptive baby?

Example output: Japanese train etiquette: Is it acceptable to take a baby in the Shinkansen Green Car?
Example explanation: A person gives a detailed description about a situation where they would prefer to travel on the Shinkansen Green Car but is doubtful if doing that would be against the Japanese train etiquette since they will be traveling with a baby. The question is summarized as Japanese train etiquette: Is it acceptable to take a baby in the Shinkansen Green Car? for easy indexing the next time someone searches for a similar phrase
Q: my main two questions are:

Can I travel to Europe having a ticket from US to Mexico and then another one from Mexico back to US (with 2 weeks difference) but going to Europe in the middle of those 2 flights (specifically, to Amsterdam)? Like kind of a trip to Europe and back but with a one day layover each way. I wonder if I would be able to re-enter the US after this trip or if I would have some problems at customs.

If not, do I have other options for traveling to Europe and coming back while having my TN expired but my I-94 valid? I was thinking of using my B1/B2 visa to re-enter the us (if that's a possibility).

I checked other travel stackexchange questions and none of them are asking for the specifics of traveling to Europe with an expired TN and whether the trip is fine as long as I depart to and return from Mexico.

The whole background for my specific situation is:

I'm a Mexican citizen and I've been working in the US for a few years now (always legally), my latest TN visa expired more than a year ago and my current employer filled an I-797C form to extend my working period validity (the document is listed as a TN2 class request). After filling that form, I received an I-797A “approval notice” mentioning that the extension was approved and such document ha dan I-94 at the bottom valid until 2021.

I have already presented my expired TN visa together with the TN2 approval notice (which has the newest I-94) to re-enter the US after several short term (less than 30 days) trips to Mexico but I never left Mexico in any of those trips. This time I want to do the same but traveling outside of Mexico in the middle of my stay, I want to do this trip, I even bought my flight tickets already but after reading different sources I don't know if I will be able to re-enter the US to continue working normally.

Another thing to keep in mind is that, I'm planning on changing my employer in about 2 moths (after the trip) for which I would need to apply for a new TN visa with my new employer and it doesn't make sense for me to get another TN visa with my current employer (for being able to travel anywhere).

I was reading this official government site and it explicitly says that nonimmigrant visa holders may be admitted at CBP if they meet certain requirements like “Nonimmigrants who departed the United States for brief travel to Canada, Mexico”. I would technically be doing a brief travel to Mexico but not sure if I'm ok by leaving Mexico in the middle of such brief travel.

In the other hand, I was also reading this other official government site which makes me think I will actually face problems when re-entering because of the part that says “ The person did not visit any countries other than Mexico or Canada in that period.”.

So I'm really confused whether I should do this trip or not (again, the total trip is only 2 weeks) because I need to be able to re-enter the US after that.

If I can't do this trip, I also believe there might be other ways of being able to travel that I'm not even aware of (other than requesting a new TN visa).

Also, I don't know if using my B1/B2 for re-entering is valid (or even recommended).

So I'm asking for people expertise in here to know a real answer on whether I can or cannot proceed with my travel plans (and any alternatives, if not).

Thanks in advance for taking the time to read.

A:
Options for traveling to Europe and re-entering the US with an expired TN visa but valid I94