So the aquarium sealant on the previous container degraded & let air through.  Powering a fan without penetrating the container was the great task.

A quick test with a used Qi charger said fuggedaboudit. It couldn't power the inductive load of the .4A fan for any amount of time. The BQ51013 got to 4.4V, got hot & it constantly reset.  There are BQ51013 breakout boards with better heat sinking, for a price.

If it charged a battery which powered the fan, no battery would survive inside the heated chamber.  Then of course, there's blocking out part of the chamber with solar panels.  It would only work during the few hours of direct sunlight & it wouldn't get as hot.  A double Qi charger might do the job but burn at least $20.

There's a chance solar panels wouldn't block too much heat & wouldn't always have to be in direct sunlight.  The 1.1 gallon container probably gets too hot without solar panels.  There is a chance of data logging only when the fan was on.

A quick test of the spare solar panels got the fan spinning but not fast enough to move any air in direct sunlight.  This would fit in the container if it completely blocked all the sunlight.  The container wouldn't get hot.

A .2A fan did slightly better.  Putting the solar panels in parallel worked better.  They're 5.5V max in parallel.  Only 4 are needed to power the .2A fan.

A pulsed system which blew air & transmitted telemetry in pulses might work.    It would need over 10,000uF, but a capacitor that big would have a hard time in the heat.  A 105C nichicon might work.  The inconsistency of solar power was still problematic.

An expendable battery powered data logger could reduce the problem to just the fan.  Magnets outside the container could drive a fan inside the container.

There's always custom inductive power, with a big old electromagnet & brain on the outside.  The last time lions invested so much in something that custom was 20 years ago.

A pulsed BQ51013 system is still the leading candidate.  The brain would be continuously powered & send logging via 900Mhz.  It would pulse a big old fan based on a capacitor charge.  It might achieve 50% duty cycle.  The internal menagerie would be farstened to the lid.  The power cable & charger would stick to the outside via magnets.

Penetrating the container continues to be vastly simpler.  If the container was penetrated by a big old ribbon cable instead of the twisted pair it used before, it might be air tight.  The seal would have to be routinely replaced but would never be as good as the stock container.

Some fiddling with resistors showed a 10R + 4700uF could correct the phase enough to power the .2A fan off the BQ51013.  It only gets 60mA, but it's just enough airflow.  It can also run off a 5R & 80mA though this heats up the BQ51013 more.  Suspect the heat sinking is the limiting factor & an off the shelf Qi receiver would go all the way to 1A.  A commercial Qi receiver + small resistor + any 5V fan + radio should handle all the blowing & data logging.