Partial answer because I'm not certain where to go from here, possibly because I've made some sort of error.

I noticed that

Each flag appears to be a combination of two flags from different African countries.

A graphic showing this:

And some observations:

Each country is used twice, except for South Sudan and Gabon, which are each used once on only the seventh flag.

Not every combination is set in stone; for example the ninth flag could also be Central African Republic + Namibia to fit the color scheme but not the pattern, or + South Sudan (though now Kenya would only be used once)

Some possible trains of thought were that the "chain of countries" between flags might be useful, in which case I have:

Egypt, Libya, Chad, Sudan

Mauritania, Liberia

Central African Republic, Democratic Republic of Congo, Kenya

Zambia, Benin, Namibia, Angola

South Sudan, Gabon [no wrap around]

Right now, the tags don't help with whether I should rely on word patterns between country names, geographic knowledge of where the countries are or what their capitals are, historical knowledge of similarities between these countries, etc. I'll leave it to someone with more knowledge and time than I to work from here unless I have an epiphany of some kind.

Partial answer because I'm not certain where to go from here, possibly because I've made some sort of error.

I noticed that

Each flag appears to be a combination of two flags from different African countries.

A graphic showing this:

And some observations:

Each country is used twice, except for South Sudan and Gabon, which are each used once on only the seventh flag.

Not every combination is set in stone; for example the ninth flag could also be Central African Republic + Namibia to fit the color scheme but not the pattern, or + South Sudan (though now Kenya would only be used once)

Some possible trains of thought were that the "chain of countries" between flags might be useful, in which case I have:

Egypt, Libya, Chad, Sudan

Mauritania, Liberia

Central African Republic, Democratic Republic of Congo, Kenya

Zambia, Botswana, Namibia, Angola

South Sudan, Gabon [no wrap around]

Right now, the tags don't help with whether I should rely on word patterns between country names, geographic knowledge of where the countries are or what their capitals are, historical knowledge of similarities between these countries, etc. I'll leave it to someone with more knowledge and time than I to work from here unless I have an epiphany of some kind.

Later edit:

I think the ninth combination might actually be The Ghana, not Kenya, but the colors are still slightly off