I need to creat a vhdl code that can solve my design problem with my state diagram and be used in conjuction with logism evolution for this state diagram.

My criteria: At startup, we initially focus on identifying the sequence $000$ followed by another non$-$overlapping occurrence of $000.$

Once we've detected the leading sequence $(000)$ twice, not necessarily in immediate succession, we cease further recognition of subsequent instances of $000$ and instead aim to identify the sequence $111$ once.

Upon detecting the sequence $111$ once, we then disregard any subsequent instances of $111$ and resume our search for the sequence $000,$ aiming to detect it twice again. This cycle persists, alternating between identifying the $000$ sequence twice and the $111$ sequence once.

note: Please thoroughly document the code