Answer
You would first reprogram the adult cells using the relevant factors. You could then use the other factors to induce formation of the correct cells to replace the damaged tissue.
Work Step by Step
The key here is getting the steps in the correct order. Adult cells cannot replace just any tissue. However, you can make them more embryonic/less differentiated by applying the first set of factors mentioned in the question. Then you could direct these reprogrammed cells to form what was needed to repair/replace the damaged tissue.