Not aware of any special shots. Suggest to talk with your providers about all the options, including any new good ideas you may pick up from your question.

Presuming you have discussed and considered conservative treatment such as physical therapy, lifestyle, NSAIDS if appropriate https://jamanetwork.com/journals/jama/fullarticle/2811009

Regarding injections, they are one option, but recommendations for, or against, vary over the years among professional organizations, as noted in the Journal of the American Medical Association link above, and the following link. If the links don't work try searches such as JAMA knee pain treatment or Mayo Clinic knee pain treatment.
( https://www.jrheum.org/content/49/8/958.abstract )

Perhaps a research trial? As I mentioned, I don't think any special shots have 100% consensus recommendations, research trials may be available?

For what it's worth, I have had relief from occasional knee pain thru the following:
Water jets in a pool, and swimming.
Physical therapy
Sometimes cutting back a few days, on running or too many steps and lifting.

Best wishes