I haven't seen this reported yet. The main problem is that when you click on someone's profile and then click "message", their name doesn't auto-populate. If they have a single-word name the workaround is just to copy and paste the username and then you can send a DM.
However, the workaround doesn't work if you have a space in your name. It doesn't work even if you put quotation marks around the name. The field just can't seem to recognize it. If I put quotation marks around it then hit send, it gives the error message "You must select at least one recipient."

The last time I know for sure DMs worked normally was April 13.
I'm on Windows 11, Chrome browser desktop.
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Thank you, that workaround did the trick!
But fuck you — no, fuck y'all, that's as blunt as it gets"
- Kendrick Lamar, "The Blacker the Berry"