Ok, this should be similar to what you have... I included the original pic first, then the one with the highlights of what you need to look at...
Here's the choke hammer view from the top...
View attachment 1715496655
Choke "hammer" from the top... This is what opens and closes the choke... There are steps on the other side where the choke idle screw rides and as it warms up and you give it a quick hit of the gas, it will kick down gradually as the engine warms up... It can't kick down until you open the throttle a little and take pressure off of the linkage...
View attachment 1715496656
Here's the bottom view showing the choke idle screw, it rides on the bottom of the choke hammer on the opposite side of the 'hammer'... This is what rides on the different steps and determines how far the choke is open...
View attachment 1715496658
View attachment 1715496659