While it is true that space time dilation can cause red/blueshift, that is a distinct from the doppler effect which is the primary effect here.
(dilation plays only a small role: without time dilation our answer going from 700nm to 350nm would be 0.5c instead of the 0.6c calculated below)
To be fair computer security have improved a lot. These days if you have up-to-date security patches itβs very hard for apps or webpages to escape the sandbox.
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