3 ways,
1. usual mechanical means scraping brushing and rubbing and scratching.
2. put back together as is and spray water in carbs on hot running engine.
3. Boil vigorously in water or better place above water for steam vapor only.
2 & 3 should turn carbon crust to soft grey power that rags wipes off.
Water carbon reaction used long ago to create "producer gas" from
coal React steam with coal at very high temperature- converts carbon
to carbon monoxide, and reduces some of the steam to elemental hydrogen.
Ok there is a 4th way using homeopathic 3xxx Dr. Willard water catalyst, he developed it for rail road diesel piston carbon/varnish that would just wipe off after soaking.
Maybe a 5th way using ATF and boiling or while engine running but then smokes
to hi heaven while house plant sprayer just give nasty grey mess out headers.