Question

1. She said that she will invite me to her birthdas ant​

Answer 1

She said that she would invite me to her birthdas ant​

Answer 2

Она сказала, что она пригласит меня на свой день рождения

Answer 3

It appears there is a typo in your sentence. The correct sentence should be:

"She said that she will invite me to her birthday party."

In this corrected sentence, "birthday" is spelled correctly, and "party" is added to make the sentence more complete and clear.