My condolences on the loss of your friends, and his parents. That was a nice gesture from his sister to give you his amp.
As for the one bad tube, best to replace both outer tubes as a matched set. Mesa only sells tubes in matched pairs. As tubes age after use, the characteristics will change over time. Trying to replace just one is not a wise choice as that will result in an unbalanced condition.
If you want the original tubes for this amp, that would be the STR415 Sylvania 6L6 in the center and the STR416 in the outer, not what brand they are. Send Mesa customer service an email inquiring if they still have any of those tubes available. The means to get a message through is to use the link below. You should get a response in a few days. If they have the tubes in their hidden inventory, it is a special order to get them. My first attempt was to try back in a few months as they do have them but will not be able to get them ready for a while. I assume tested and packaged. That requires a work order to process them and some sort of invoice to get them. The STR415 and STR416 (assuming they have them) are not a cataloged or stocked item for resale. If they were, they would have sold out years ago.
The person I was communicating with at Mesa: Kris Dilbeck (MESA/Boogie). Best to use there portal to get through. At the bottom of the page, click there to initiate a request.
https://mesaboogie.zendesk.com/hc/en-us
For current production tubes. Hard to say how the amp will respond with what is out there now. TAD red base tubes like the Mesa STR448 (6L6GC) and the STR446 (EL34) may work out. If I still had the Mark III DGR, I would be able to recommend what works best. The STR448 is very close to the STR415. The STR446 is an EL34 tube and not a 6CA7 as those tubes have beam forming plates like a 6L6GC tube. The alternatives for the STR416 would be either the JJ 6CA7 or the EH 6CA7. Then there is the Gold Lion KT77 that will sound similar to the 6CA7.
Now I wish I never sold my Mark III DRG combo. I sort of miss it. See what Mesa says as a response to the inquiry. I am sure others who favor the vintage amps will chime in with some recommendations for you as well.