do you have any control over the thickness of the substrate? see this question here:
https://electronics.stackexchange.com/questions/663304/flex-pcb-controlled-impedance
it looks like changing the substrate would be easiest from a design standpoint but there are ways around using a thin core. you could try ditching the ground plane on the other side and using a single plane coplanar wave guide.
i got 90Ω with width 55 and ground plane spacing 23 https://www.microwaves101.com/calculators/864-coplanar-waveguide-calculator
about the power traces: can you not use a slightly wider trace on the run and then match to the shape of the connector with a gradual taper near the end?