Meaning of "Thank you for entertaining my application"?

The maker of the sentence may have meant the meaning of "consider/think about".

about "entertain"

1. invite sb to eat/drink with you

The Bradfords always entertained lavishly at Christmas.

They entertained us to lunch in their new house.

2. interest/amuse sb

Everyone was thoroughly entertained.

She entertained us with stories of her travels.

Phrases ~ and educate, ~ and enlighten, ~ and inform | keep sb ~ed

Films can entertain and educate, make you laugh or cry.

We hired a magician to keep the children entertained.

3. think about an idea/hope/feeling

I am amazed that such a crazy idea could be seriously entertained.

She would make no promises, but was willing to entertain the idea.

https://en.dict.naver.com/#/entry/enko/14e59da17a2b4773a90bc214c11e9a63