Are there many? It does sound like they hatched out from something - it could be from a wood item or it could be food. It can be very hard to get things identified by anyone official sometimes. Topac won't have a heart attack - he probably will be stressed after a full clean out but he should settle again in a few days to a week. I find it helps to hide lots of treats in the cage after a clean out and an extra special chew or treat to help distract them.
If there are only one or two you could just squish them and see if that's it. If you keep finding them still over the next week then yes you'll need to do a full cage clean. That will be more than just replacing the bedding. It will mean freezing certain items, ideally baking wood items (but not if they have glue or metal - just freeze them), Cleaning out the cage with white vinegar or pet-safe disinfectant - ie spraying the bars and base. Spraying bars is fiddly as they are round! I used to give them a good spray inside and out, with the bars in the bath, wait 15 minutes or so and then wash them with a soapy sponge - eg washing up liquid on a wet sponge, so the soap gets round all bars and into crevices.
Likewise with the base but that is easier to spray. Any plastic or ceramic items can just be washing in washing up liquid or go in the dishwasher..
Hopefully the little critters will be gone in a few days if there were just a few and you get them