Geeses, geeses’, geese’s

it would be geese's

Explanation:

Since "geese" is plural, the possessive form would be "geese's." In the second part of your question, you used geese in an entirely different context that made the word singular instead of plural. In that context, the plural of geese is geeses. If you have a plural possessive of geese, you do indeed get geeses'.

B To illustrate Carla's high expectations

Explanation: Just took the test on Edge