Accidentally ate cake with eggs — is it okay to visit Thiruvannamalai now?

Hi all, I need some advice. Earlier today I accidentally ate 2 pieces of cake, and only afterward realized that it might contain eggs.

I’m planning to go to Thiruvannamalai, but now I’m worried whether this is okay from a religious/spiritual standpoint.

Is it fine to go the same day, or should I wait? I didn’t eat it intentionally, it was a genuine mistake.

What do you all usually do in such situations? Any guidance is appreciated.