Even if (V-te form)
Used to express that something will be okay even if a certain condition is met, polite.
Examples
雨が降っても行きます。
I will go even if it rains.
高くても買います。
I will buy it even if it's expensive.
忙しくても大丈夫です。
It’s okay even if I am busy.
Quick check
雨が降っ___も行きます。