The Celestron PT appears to have a capacity of 158 watt-hours (WH), or something around 12AH at 13 volts. As Hyiger said, how long your rig can run depends on how much power (watts) the entire kit consumes, times the length of time intended (10 hrs in your question). Gut feel, for 10 hours of run time, and with a bit of margin, you're going to need to be under an amp or so (12 watts) for the Celestron unit to work, and that's not likely going to be the case. You're probably short by a factor of 2x to 3x.
My own scope runs from a custom Lithium battery pack, and includes the mount, ASI2600MC camera / cooler, focuser, guide camera, dew heaters (2), a small network switch, and a Raspberry Pi 4B computer that runs the show. That adds up to something around 3 amps at 12v (36 watts), plus or minus depending on the ambient temperature which determines how hard the camera cooler and dew heaters need to work. There's also a small laptop that is used as the Pi's virtual console, and in the winter I add a car travel blanket to keep me warm. With the laptop running, but without the dew heaters and blanket, I usually consume in excess of 100 watt-hours in just a 3 hour session.
If you have the funds, the 3rd choice in your list would probably be best, as it's capacity is about 500 WH. Use the 12v DC outlets wherever possible instead of the 120v outlets and an external adapter, as it is going to be more efficient. The larger power station will also provide power in other situations, for example if you're on a camping trip or when there's a power outage. One can never have too much available standby power these days, and the Lithium battery should last a decade or more if not abused.
