Be very careful going by what they "tell" you.
Claiming "Mr. Jones at the assessor's office told me xxx" will get you nowhere when the higher tax bill comes. At most, they will tell you he was wrong or never told you that.
As was mentioned, the pool company should have some knowledge in this area. One would hope they do since it is their business to know.
I would go to the tax office and get an answer in writing. Make them include the actual tax code section where the answer comes from. Print out a copy of that section to keep with their letter.
If it doesn't say it in the tax code, even a letter won't help you.
You might also look through ecode360:
http://ecode360.com/OY1221 It may have the answer