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Depends on what architecture u are using.
1.IF simple cascode current mirror, then incre4se the lengths of the transistors (PMOS).
2. You could have a pre-regulated supply for your BGR.
3. If u have an amplifier that is maintaning the the voltage across the BJT and BJT plus resistor in PTAT core. Ansd output of it is driving the gate of PMOS current source, then your opamp must pass the complete supply ripple to the gate of the PMOS where the supply ripple would become a common mode signal.
Opamp with diode load connected to VDD would be the architecture choice
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