Do you see any symptoms in the canopy? A common symptom is leaves suddenly dropping or turning brown in the summer months. Leaves may be brown, somewhat bronzed or partially green. Red oak trees may be dead and defoliated within four weeks of infection. You can read more about symptoms here: https://www.canr.msu.edu/news/smart-gardening-to-prevent-oak-wilt
Laboratory verification from a living tree that is showing symptoms are the only ways oak wilt can be confirmed. You can submit samples to the MSU Plant and Pest Diagnostics lab. You can read about how to submit samples for oak wilt specifically here: https://www.canr.msu.edu/pestid/submit-samples/how-do-i-sample-for-oak-wilt
Also, when did the open wound on the trunk appear? That wound will have some effect on the tree as it looks like it goes into the cambium as well. I would seal it asap with latex-based paint (as I believe you did for the other wounded area) to exclude the sap beetles that spread the fungus. They can arrive very quickly.