A suggestion not to assume the "new mutation" piece is of particular significance. As others have pointed out, many mutations of the virus are already out there. I'll be awaiting some more meaningful info.
Someone upthread asked if the different vaccines might respond differently?
My understanding: All three have the same fundamental mode of action - they take the piece if generic material (RNA) which codes for the virus spike protein and release it inside our cells, which then make the protein, triggering an immune response. They differ by the means of transporting the RNA into the cells. The sequence coding for the spike protein could be taken from any mutation of the virus, but all were developed early in the pandemic; I would guess (but don't know) they all have identical sequences so are all equally (un)likely to be affected by mutations.
I think it's also right to say that mutations to date have no or minimal effect on spike protein.