I have Adobe Lightroom 4 running on a 2019 MacBook Pro running Monterey. It is an Intel machine, but Adobe Lightroom 4 is actually 64 bit except for a few components which I have yet to find, so for me it is running ok also. No doubt someday I will try some option in Lightroom 4 and will find it doesn't work ...
That said, Lightroom 4 is an ancient version and you should seriously consider getting a new version. You can get it with the full Adobe Photography CC plan which is about $120 per year. This is not a bad deal because you also get Adobe Photoshop and Adobe Lightroom Classic (which uses local storage instead of the cloud) and get to use the very latest versions of everything, plus you get mobile versions of these programs and 20 GB of Adobe cloud storage. Or you can get just Lightroom plus 1 TB cloud storage, same price.
The only reason I still have Lightroom 4 is that I "inherited" it from my daughter, who has a photography business and now of course uses all the latest versions of Adobe CC and Classic herself. Once in a while she has me use this old version of Lightroom 4 to compress some collections of images for her that I download from her repository. That functionality still works fine.