Thanks that link worked great, unfortunately for anyone else it seems the moderator has removed the link. As this has been a very frustrating event with both Apple and HP neither wanting to really assist, I hope that since I'm not providing links that what I type next will be allowed to stay up as plenty of us have to get prints done for jobs and this is what worked for me.
I would suggest searching "hp-essentials-s_5_15_5_12 " OR " MACOS 10.15.7 CATALINA SENDS ERR MESSAGES ON STARTUP - out of date" on the big search engine. You should get a hit from HP forums. I went there and about 3/4 down the forum page there is a link to an FTP site from HP with the said hp-essentials-s_5_15_5_12 install file. I downloaded directly from the ftp installed it and installed the certificate, added the printer again and now I have all functionality with the printing side. I did notice the scanner functionality from the system preferences, printers& scanners >and then my Pagewide Pro 477dw does not allow me to scan from there but at this point I could care less as all I really need is to print documents with color from Word and converted files to pdf. Both worked for me.