The official rule is you can get an extension. In practice immigration really really don’t want to do one.
I can only speak regarding the Phuket office but there may have been a dozen successful extensions done there but my guess is they won’t try again. They probably needed 3, 4 or more visits to satisfy the requirements.
Sure it can be done but for the majority you’ll find a border run by land or air will be a much easier way to get another 180 days.
1st time in person but with a DTV most won’t be doing a second before leaving and returning so that would be their “1st” report again after entering Thailand
Immigration and the Ministry of Foreign Affairs (who issue visas from consulates and embassies) are completely separate government departments. Absolutely no point in trying to get that to work.