Michael,
Please clarify which specific functions you need in a CAT tool.
I have used Felix on my desktop for years, but apparently it is not compatible with Win 11. A colleague has experimented with Cafetran and OmegaT, which I believe are both desktop apps, and I think the final versions are stored, but I'm not sure.
I do know that DeepL pro (subscription) allows you to upload large glossaries. The MT output in DeepL offers alternatives for each term by hovering over it with a mouse. DeepL pro will also store large numbers of previously translated documents on its user's website that can presumably be retrieved and/or used as references.
On the AI front, I have subscribed for about two years to
chatdico.com (about 10 Euros/month). ChatDico is a gateway to CHAT-GPT, Claude, Deepseek, Mistral, Gemini, etc. on the same webpage, There are also pulldown menus for setting the style, field of inquiry, etc. The user can enter a Japanese sentence up to about 500 words, run it through each AI engine, and then choose the best renderings from the bunch. This is particularly useful for items such as the names of organic chemicals, genus/species names of biological organisms, etc.
Good luck in your quest.