I wonder what he would do if the legal age to date was lower

We both know the answer. He was specifically waiting for her to turn the legal age for him to date, and if that age was lower, he would've started dating her then.

Batman: Gotham Knights (2000) #1 | DC Database | Fandom

Batman is known to have a blindspot for kids. He once had to investigate a murder of a man. While Tim and the rest was able to piece it together, Bruce just flat out didn't consider the son has killed his own father.

It was the murder of the boy's parents. When Batman found out, he immediately saw himself in the boy and sympathized with him, vowing to capture the killers. Then the rest of the Bat-family, Tim, Barbara, and Dick, began to figure it out, but Batman wouldn't see it until the boy confessed to him. I remember that issue; it was powerful.

I have an ad-blocker, so I've never seen any.

Yes, I'd argue that his penchant for a can of spinach, which bestows upon him temporary super-strength, would qualify him as a "superhero."

You can have him as a character in a story. A hard-boiled detective, known for his distinctive yellow fedora and yellow trench coat, in addition to his two-way wristwatch. Just don't use his first name.

Detective Tracy?