As slomo says:
That green corrosion not coming clean from your boiling and cleaning is also a clue that the passages inside are not getting clean plus the outside of the carb is not even cleaning itself.
That green gunk has most likely hardened inside a small orifice and restricting a passage.
If the CLR don't get it loosened up eventually try a 50/50 mix of vinegar and warm water, soak the carb for 30 min's, send some air through the passages and the outside surfaces, brush the carb with a stiff paint brush or toothbrush, then back into the warm mix for about 45 min's, rinse again, blow dry the passages, and as a final add a spoonful of baking soda to water and brush and rinse the carb good. You can gently clean the needle with the tooth brush and a cleaner. do not get aggressive with the vitron tip.
I suspect ethanol gas has went bad inside that carb, seeing the blue corrosion everywhere on the internals.
Vinegar is a acid and if not neutralized with baking soda it will keep chewing on the magnesium/aluminum and the carb will feel greasy and turn black. No major harm but just do the neutralize thing.
The 50/50 mix of white vinegar and water will not harm the carb, I use it in Ultrasonic tanks for carbs and sometimes have to make several runs in heated vinegar/water mix when I get into one like yours and I mainly use the baking soda rinse to eventually stop the acid reaction on the external body of the carb causing it to change color and remove the greasy feel.
What it really needs is a good UltraSonic cleaning.
The linkages on them Amazon clone carbs is going to be wrong for your throttle and choke. Only thing a cheap one would be good for is to just bolt on and operate the throttle manually so as to see if you get a good run on the engine manually operating the choke and throttle. You need to check your bolt on spacing width and the size of the carb throat opening. These dimensions are sometimes listed when looking at pictures of carb part numbers on fleece bay then go elsewhere in your vicinity to maybe find that same carb.