Since it's 2022, use Sentence Transformers to embed short phrases. They are leaps above w2v. Or just use any model from Hugging Face. It's just 10 lines of code, really easy to start with.
Although Hacker News can reach Stack Overflow reductiveness of "just use X lol"...using Transformers for NLP is indeed the best answer for all in terms of performance, speed, and ease of implementation.
A weakness of TDS monopolizing data science SEO is that it's hard for better techniques to surface.
https://sbert.net
https://huggingface.co