HOAs are virtually never 501(c)(3) organizations as they are not organized and operated for exempt purposes and would not file any variant of Form 990.
See https://www.irs.gov/charities-non-profits/charitable-organizations/exemption-requirements-501c3-orga...
HOAs file Form 1120 or Form 1120-H, both of which are supported by TurboTax Business.
However, Form 1120-H must be prepared entirely in Forms Mode which primarily negates the utility of the program for a simple HOA return.
https://www.irs.gov/pub/irs-pdf/f1120h.pdf
