That's not a unique problem of they:

"The man shoved the waiter because he was in his way."

Pronouns only have a few bits of information, everything else has to be inferred from context. (A big problem in natural language processing.)

This doesn't do anything at all to resolve the ambiguity in this sentence.

"They" is generally accepted as a singular gender neutral pronoun.

Here's a short review on the use of the singular "they". It is OK. https://www.merriam-webster.com/words-at-play/singular-nonbi...

If this is such a problem, do you think it's a problem too that English doesn't distinguish between singular and plural you?