Hello Josef,
I recommend you to take a look into the MKW01 datasheet where you will find information about the supply voltage (minimum 1.8 V, table 9 "Transceiver recommended operating conditions") which will let you know if the desired battery would work for you.

Also, the datasheet shows information about the power consumption in the different sleep modes (table 10 "Power supply current") which is useful to calculate the time that your battery would have the MCU powered on.

Best regards,
Earl Orlando.
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