the page has an export function that will allow you to export 10000 records (the max number of records that the API will allow you to get per set of parameters). you can work around the max by speciffying order_by=id and using id_above or id_below to construct n sets of up to 10000.
i would start with something like this as the base: https://jumear.github.io/stirfry/iNatAPIv1_taxa?taxon_id=47822&rank_level=10&per_page=500&order_by=id&options=ancestry
export, go to page 20, get the next set based on id_above the id of the last record on page 20, and repeat as many times as needed
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an alternative would be to use the DWCA taxon export, but if i remember correctly, that has more taxon records than standard Excel worksheets can handle. so you either need to know how to use Power Queries in Excel to filter, or else you could use SQL, Python, R, or some other languange that can handle large datasets.