@Riley_S 

Thank you for the feedback.  I couldn't figure out what in the guest network would be blocking it, so I disabled the guest network and Smart Connect to have the separate 2.4GHz and 5GHz networks with different SSIDs.  It still wouldn't connect.  I tried different channels and channel widths on the 2.4GHz network without success.  I set up a hotspot with my phone and also one with my computer and it was able to connect to both of them.  The router firmware is up to date, so there is just something with the A8 that is preventing the Genie from connecting.

  @Riley_S 

No go. :(

With Smart Connect on, I disabled SPI Firewall.  Respond to Pings from LAN was on and from WAN was off.  Also tried Firewall on and WAN on and Firewall off and WAN on.  All to no avail.  With Firewall off, LAN on, WAN on, I disabled Smart Connect, still without luck.

  @TPLA8Owner 

Did you try to "reset" your garage door opener to forget any previous networks?  If you are using the same SSIDs as the old router, the garage door opener may no "trust" your new router seeing a new MAC address (BSSID) associated to the SSID.  Some devices do this to avoid joining evil-twin, rouge APs and require you to hard reset them or forget old network before you can join a new one.  If you are using a different SSID, this may not be the case.  I would still try to reset the opener if such a feature exists.

Good luck.

  @pcuttle 

I don't think there's a "reset" on the opener, but I did have it connect to two different networks after the original one.

I ended up getting a different router, left the default Smart Connect enabled and used the original SSID.  The opener connected without issue.