Glad you got the problem solved.
For the 12 Volt battery, I don't see why it has to be special from Infiniti. Yes it is different from the one the non-hybrids use, but to me any battery with the correct terminals that meets the requisite 582 CCA (cold cranking amps) will suffice. In fact I have a bad experience with an undersized/inadequate battery from Infiniti.
If the Infiniti one costs $300, how much is the "ordinary one" going for in your part of Bulgaria? That difference might make all the difference in the decision.
Good point to note on stored cars. Idle long enough and rev the engine or even better, drive it around the block.
cliffyk wrote: ↑Sat Sep 22, 2018 8:01 am
... Periodic starting without driving is not something I'd do to a stored car, especially just starting and idling--the engine will not get hot enough to burn off the nasty combustion by-products...