You don't incorporate logos, you register them as trademarks so long as you are using the mark to signify the source of goods or services.
Whether or not your logo is trademarkable depends on how likely consumers are to confuse your mark with another's mark. It's pretty much impossible to answer that based on the scant facts here and would require an in depth trademark search. Have you thought about talking to an attorney in person about your goals so they can help you determine your best options?
Governments can have rights in their brands just like the rest of us. if you know that you plan to copy the logo or portion of the logo of Colorado, find an attorney to help you think that through.
LEGAL DISCLAIMER: Please note that this comment does not constitute legal advice nor has an attorney-client relationship been created.The law may vary depending on the state in which you reside or the jurisdiction where the activity took place. This comment is intended only to give some direction in which to seek further guidance. If you think my post was helpful, please check the thumbs up tab located below.
There is special regulations and statutes that make it illegal to incorporate federal government and state logos. I don't know specifically about Colorado. You should design your own logo, not copy one from the state, and have an experienced Trademark attorney advise you on it's availability for use and registration.
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