A standard paint job on Royal navy ships (and that of many other nations as well) was the grey and/or dazzle scheme below which was the black 'Boot Topping' and then below that was red anti fouling paint. May modellers paint the entire hull bottom black as the red can show through the water unrealistically, but that is a personal thing and up to the modeller. Before a certain date, warships had a green anti fouling paint, but Broke would almost certainly be grey-black-red.
You can tell the range of grey she was painted with in that Getty image as the Sailors are wearing their dark blue uniforms and the boot topping, being black is as dark, so a lighter mid grey would be right. As to exact tone (warm grey or cold grey) have a look at model paint manufacturers and get the feel of their shades.
Some modellers agonise over the exact shade of Olive Drab, or sand, or indeed grey, but it is fair to say that every batch of dye, paint or stain was slightly different. Even today, modellers will buy a box of tinlets rather than buying one tin at a time, as you will run out of one and then find the second one you bought was slightly different. Then there is wear and tear and fading and the effects of nature 'moving in' on areas of hull often exposed to the water.
For HMS Ready, I sprayed my hull with a Halfords Art paint, which is a dark grey. It is grey slate perhaps, so not too brown or blue, nor even green. As she was an experiment and representative of the class, I painted her hull darker than she might have been, but painted her upper works in lighter greys.