What does the word "equally" mean in this context?

When someone say:

God loves everyone equally.

What does the word "equally" mean in this context?

B2 fairly and in the same way: In an ideal world, would everyone get treated equally?

the word "equally" has several meanings, and I don't know which meaning is appropriate.

C1 in equal amounts: The inheritance money was shared equally among the three sisters.

C1 to the same degree: You looked equally nice in both dresses.

› used for adding an idea that is as important as what you have just said: Not all businesses are legitimate. Equally, not all customers are honest.

^{(Cambridge Dictionary)}

Answer

To the same degree would be a correct interpretation here, but a simpler interpretation would just be "the same." Identical, no difference. Take any two identical things, you can say that they're equal. Put back into the original quote, you could say:

"God has the same love for Jim as He does for George, or anyone else for that matter." Absolute equality, no difference found or implied to either people, they are treated as if they are exactly the same in this regard. Also with the various definitions you quoted, it always comes down to whatever referenced thing being "the same."

We'll distribute the liquid equally between these two jars.

In the end, both jars are going to have the same amount of liquid.

Rotate both dials equally.

Both dials will have undergone the same degree rotation.

Distribute your money among your children equally.

All children will receive the same amount of money.