Our tech guys tell me the tube should drop right out, maybe with some moderate taps to loosen it, but nothing severe.
If it does not drop out, it's likely the corrosion or debris has "welded" it to the inside of the carb body, and there's probably other nastiness in other parts of the carb too. A new carb maybe the best solution: $106 list price, but can usually be found discounted at many dealers. Honda part number is 16100-Z01-D03.
Lots of dealers sell parts online, but you can also find a local Honda dealer at this link:
Honda Dealer Locator Link -Robert@Honda
Caveat: I work for Honda, but the preceding is my opinion alone.
