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Find the value of squared root of 2 raised to the power of squared root of 2 that is raised to the power of squared

Find the value of squared root of 2 raised to the power of squared root of 2 that is raised to the power of squared root of 2 that is raised to the power of squared root of 2 that is raised to the power of squared root of 2 that is raised ... [infinitely]... to the power of squared root of 2. That is, find the value of the expression below:

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