Carburetor

And it's a carberator to ????

 pxt16542 is the model # for the entire machine.  A rider  
 
If your looking for an ENGINE PART, we need the engine make, HP and model #
 
 
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Here's a link to the governor parts assembly:
 
https://jackssmallengines.com/jacks-parts-lookup/manufacturer/briggs-stratton/briggs-stratton-engine/200000-399999-series/31a700-to-31a799/31a707-0874-g5/alternator-controls-electric-starter-governor-spring-ignition
 
What part specifically is broke?  
 
The governor arm has linkage direct to the carb throttle. 
 
The governor arm then has a spring attached to it that goes to the throttle mechanism that
your throttle cable would go to...
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As you adjust the throttle higher, the spring has more tension on it.
 
There is a separate linkage for the choke.
 
 

That little piece isn't available separately.  
 
Briggs used that piece in many machines...  
 
The tension spring(wraps around the linkage), goes in that little hole on the throttle tab. 
 
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If you can find one of those push on clips, small enough to slip tightly onto that linkage, that'd work..