Can you help me with this dilemma regarding what to do about this situation re: party invite?

About two weeks ago, my 5 year old daughter was saying that her classmate was having a party at a popular kids’ venue at the mall (bear store) and that the whole class was invited. She did not know the day the party was on, but she said that the birthday girl told the class and that they were all invited and that the party was that weekend.

Since we did not receive an invitation, we could not verify what she was talking about, and children often get their facts incorrect anyway, but I was concerned that the invitation was given to her and that somehow it was misplaced (as little kids can do very easily). I had the mom’s email address in my work computer, so that Monday I emailed the mom, who I have never met, and said “I’m so sorry if we missed the invitation to your daughter’s party. ______ (my daughter) said ______(her daughter) said the whole class was invited, and that it was this weekend, but she did not know the day. If you ever send an invitation and you don’t hear from us, please feel free to email me, as it’s possible it got lost.” The mom emailed back and said yes, there was a party this weekend, which was the family party and there is going to be a party that the whole class is invited to, at the bear store, on February 3, and she’s just not sent the invites out yet. I responded that my daughter will definitely be attending, she loves parties, see you then, etc.

Since that email exchange, we have not received an invitation. February 3rd is now less than a week away, so I would think if the mom did invitations she would have sent them out by now. I asked my daughter if she got an invitation to the party and she said no. I would have thought if the mom did regular paper invites, she would have sent one home with my daughter, regardless of our email exchange (but that’s just me). My question is, should I email the mom to confirm that the party is still on (as she told me it was in our first email exchange), or should we just show up at the bear store at the time she told me on February 3rd, or should we not go at all?

If you think I should email the mom to confirm, how should I word it?