Absolutely get a dot com.
Notice that I said to get a dot com.
Several years ago, I had the thought that I might want to start a business someday. I decided to get a dot com right then and hold it.
I found the same situation you did: I was struggling to find any good ones still available.
So I decided to make my own. I went to a random word generator (I think it may have been a gamer username generator, but anything that will generate non-existent words), set it to five letters or less (a short name is better), and started clicking.
It took a while because I would stop and evaluate words that looked good.
Finally, I found one that I loved. I think my reasons for loving it are justifications, but I really did like it.
It was unique in that its first two letters were the last two letters of the alphabet.
It was memorable because I could connect its pronunciation with the awesome evil character Yzma [1].
It rolled off the tongue in a way I didn't expect.
And the dot com was available!
I registered the domain and a few ancillary ones.
And that is how my new business is named Yzena. [2]
Worth it.
The lesson here is this: if the system has problems, think outside the box; get out of the box of existing words and make your own. It works for plenty of companies.
My family has water bottles made by a company called Owala. Google was not a word until it was. Yahoo was a catchphrase of an Italian plumber. And what is up with the name nVidia?
So make it up, and then make it your own. Get the dot com.
[1]: https://disney.fandom.com/wiki/Yzma
[2]: https://yzena.com/