I am using the HP4059 charger to charge a 35 mAh battery. Here is my schematic:

I have placed a 3 kΩ resistor R1 (charging current of 33.3 mA). If there is no load on VBAT, everything works fine, and the VBAT voltage is 4.2 V. However, if I connect a load to VBAT < 850 Ω, the VBAT voltage drops to 1.6 V. If I reduce the R1 resistance to 2.1 kΩ, the situation is corrected (VBAT voltage of 4.2 V), but I cannot use this resistor as I am afraid of damaging the battery since the charging current will become 47 mA. What can I try to fix the situation?