You are correct in the Part number for the Oil Slinger, according to the above link, is 691997.
I have searched the ODK Parts Database, as suggested by Gadge, but it is not listed as an item stocked, so have found the part in Australia for $45 plus P&H from [Censored] at:-

https://www.[Censored].com.au/genuine-briggs-stratton-slinger-governor-oil-691997.html

Otherwise, eBay seems to be other option. None listed in Australia, but they are listed on our eBay with indicative P&H charges.
The Part Number reference appears to be common to a large number of engine variations and models, and being a Genuine Briggs and Stratton part, one would expect the part to remain identical.

Environmentally friendly recycling at it's best