Ask your County’s property appraiser. Every county is different.

As above every county can be different unless like here the state legislature passes a law. It used to be every ten years but the time has gradually been shrinking. I think this is the year that we go to annual reappraisals. You can look at the county's appraiser and/or tax collection websites for the information if you do not want to call.

I suspect there will be some shocked people when the new appraisals go out later this year or next with the current selling prices in this area.

Very locally dependent but in my county, appraisals are done every three years or if the property sells sooner, the tax basis is adjusted to the sales price.

Don't confuse appraisals and assessments. And yes, every municipality does it differently - you might be better and more accurately served by asking your area email list/NextDoor/subreddit/neighborhood FB group than here.

You will get your tax assessment after you get your certificate of occupancy.

Trust me they will not forget about you so I wouldn't worry. :-)

For the purposes of a new home build, they will assess your valuation immediately upon completion of the certificate of occupancy. They will send you a notice. The County or Parish assessor will not be slow to accomplish this task.

Your state legislature will pass a law that deals with the process and timing of property tax assessing. Each state or commonwealth is different. Your county or parish assessor will have this information on their website.