When you file a Form 10 it doesn't register your or the company stock.
With a S-1 the company stock is registered.
Here is an example: A Form S-1 would have to be filed following the Form 10 if you want to register specific shares for investors and others to purchase; enabling a trading market.
The Form 10 registers a class of securities (common stock) - Filing a Form 10 does not “take you public" but a S-1 does.
The S-1 registers and offers specific shares for sale to the public, thus “taking the company public.”
For CCTL it would much easier to find a broker to file a 15c2-11 with FINRA.