Hi Everyone,
How can I go about repairing this window sill of wood rot?

I've read through this article which was very helpful and also purchased Turbo Timer Rot Repair Kit, however, as it's inside, I would hope to use builders bog that is stainable so it can match the rest of the frame (picture 2).
We've also bought Selley's Roof and Gutter Sealant.

It seems like I would also need to reseal the glass at the bottom to prevent more water seeping through. How do we prep the area and what is the best method?
The windows seem to have this between the glass pane and sill (from another window):


(I've also checked the wood of this sill and it's hard, and seems to just be surface level water stains that are in need of re-staining)
Any tips would be greatly appreciated!