Long lifetime battery selection for nRF9160

I read that previous versions of nRF9160 worked voltage levels below 3v, but not the current model.

The question:

What batteries does Nordic Semiconductor recommend to use for very small devices requiring long lifetime batteries? 

1. LiMnO2

pro: batteries are otherwise great, have low self-discharge rate and good working temperature profile
problem: they have nominal voltage levels of 3V that drops gradually, so with min 3V requirement they don't work

2. Li-SOCl2

pro: steady 3,7V voltage levels, low self-discharge rate and good working temperature profile
problem: peak current levels are not enough form the nRF9160 modem (in small batteries, like EF702338 (41x23x7,5 mm))

Chargeable Li-Po batteries has problems with higher self-discharge, lower energy density and worse temperature range compared to previous batteries mentioned. 

So, what is the suggested solution for this kind very small IoT devices requiring long lifetime (multi-year) batteries?

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