I appreciate the comments from all. Here is update. After restarting the computer a couple of times over the course of a couple of days the problem with Lightroom "Not Reaponding" has quit. However, the problem with denoise still persists and based on the minimum graphics card requirements and information I have been able to glean it looks like an update to the card is probably the best path forward.
With my basic understand of what's currently required and looking down the road my current thoughts are to use a 6 GB card, hopefully, in the $200 to $350 range. Can anyone give me some guidance on what else other than the 6GB spec. I should be looking at?
If you can, go 8GB on that card. This is what Adobe Engineer Eric Chan recommends.
https://blog.adobe.com/en/publish/2023/04/18/denoise-demystified